Jamone who took Philip Pegden's approach to a more robust NumericTextField did us a great service.  One problem I found with the approach however occurs if the NumericTextField is used in a scrollable list and part scrolls out of view. The internal state of the string can be lost causing unexpected behavior on scrolling.  I also wanted to be able to enter negative numbers and exponential parts (numbers like -1.6E-19). I make a new NumericTextField that allows for options of a decimal point, an exponent and a minus sign that only contains the string.  I also made a reformat function that is fired from the onEditingChanged false condition.  My version works pretty well but still could use some more testing and improvements.  Since a partially entered number creates updates immediately the partial entries often aren't numbers and return nil from the number converter. It seems it would be straightforward to remove the last character of the string on a failed conversion and try again until a number is returned or no more characters are left in which case a nil is returned. In general this would be the last good number entered.
If a lot of calculation occurs on a change it may be better to wait until done editing before binding, but then this is not the right textfield for that, as was the point originally at the top of the post.  In any case, here is the code for my version as it is so far.
    //String+Numeric.swift
    import Foundation
    public extension String {
        /// Get the numeric only value from the string
        /// - Parameter allowDecimalSeparator: If `true` then a single decimal separator will be allowed in the string's mantissa.
        /// - Parameter allowMinusSign: If `true` then a single minus sign will be allowed at the beginning of the string.
        /// - Parameter allowExponent: If `true` then a single e or E  separator will be allowed in the string to start the exponent which can be a positive or negative integer
        /// - Returns: Only numeric characters and optionally a single decimal character and optional an E followed by numeric characters.
        ///            If non-numeric values were interspersed `1a2b` then the result will be `12`.
        ///            The numeric characters returned may not be valid numbers so conversions will generally be optional strings.
func numericValue(allowDecimalSeparator: Bool = true, allowNegatives: Bool = true, allowExponent: Bool = true) -> String {
    // Change parameters to single enum ?
    var hasFoundDecimal = false
    var allowMinusSign = allowNegatives // - can only be first char or first char after E (or e)
    var hasFoundExponent = !allowExponent
    var allowFindingExponent = false // initially false to avoid E as first character and then to prevent finding 2nd E
    return self.filter {
        if allowMinusSign && "-".contains($0){
            return true
        } else {
            allowMinusSign = false
            if $0.isWholeNumber {
                allowFindingExponent = true
              return true
           } else if allowDecimalSeparator && String($0) == (Locale.current.decimalSeparator ?? ".") {
              defer { hasFoundDecimal = true }
              return !hasFoundDecimal
           } else if allowExponent && !hasFoundExponent && allowFindingExponent && "eE".contains($0) {
              allowMinusSign = true
              hasFoundDecimal = true
              allowFindingExponent = false
              hasFoundExponent = true
              return true
           }
        }
        return false
    }
}
This extension allows strings with minus signs and one E or e but only in the correct places.
Then the NumericTextModifier a la Jamone is
    //NumericTextModifier.swift
    import SwiftUI
    /// A modifier that observes any changes to a string, and updates that string to remove any non-numeric characters.
    /// It also will convert that string to a `NSNumber` for easy use.
    public struct NumericTextModifier: ViewModifier {
        /// Should the user be allowed to enter a decimal number, or an integer
        public let isDecimalAllowed: Bool
        public let isExponentAllowed: Bool
        public let isMinusAllowed: Bool
        /// The string that the text field is bound to
        /// A number that will be updated when the `text` is updated.
        @Binding public var number: String
        /// - Parameters:
        ///   - number:: The string 'number" that this should observe and filter
        ///   - isDecimalAllowed: Should the user be allowed to enter a decimal number, or an integer
        ///   - isExponentAllowed: Should the E (or e) be allowed in number for exponent entry
        ///   - isMinusAllowed: Should negatives be allowed with minus sign (-) at start of number
        public init( number: Binding<String>, isDecimalAllowed: Bool, isExponentAllowed: Bool, isMinusAllowed: Bool) {
            _number = number
            self.isDecimalAllowed = isDecimalAllowed
            self.isExponentAllowed = isExponentAllowed
            self.isMinusAllowed = isMinusAllowed
        }
        public func body(content: Content) -> some View {
            content
                .onChange(of: number) { newValue in
                    let numeric = newValue.numericValue(allowDecimalSeparator: isDecimalAllowed, allowNegatives: isMinusAllowed, allowExponent: isExponentAllowed).uppercased()
                    if newValue != numeric {
                        number = numeric
                    }
                }
        }
    }
    public extension View {
        /// A modifier that observes any changes to a string, and updates that string to remove any non-numeric characters.
        func numericText(number: Binding<String>, isDecimalAllowed: Bool, isMinusAllowed: Bool, isExponentAllowed: Bool) -> some View {
            modifier(NumericTextModifier( number: number, isDecimalAllowed: isDecimalAllowed, isExponentAllowed: isExponentAllowed, isMinusAllowed: isMinusAllowed))
        }
    }
The NumericTextField then becomes:
    // NumericTextField.swift
    import SwiftUI
    /// A `TextField` replacement that limits user input to numbers.
    public struct NumericTextField: View {
        /// This is what consumers of the text field will access
        @Binding private var numericText: String
    
        private let isDecimalAllowed: Bool
        private let isExponentAllowed: Bool
        private let isMinusAllowed: Bool
        
        private let title: LocalizedStringKey
        //private let formatter: NumberFormatter
        private let onEditingChanged: (Bool) -> Void
        private let onCommit: () -> Void
        /// Creates a text field with a text label generated from a localized title string.
        ///
        /// - Parameters:
        ///   - titleKey: The key for the localized title of the text field,
        ///     describing its purpose.
        ///   - numericText: The number to be displayed and edited.
        ///   - isDecimalAllowed: Should the user be allowed to enter a decimal number, or an integer
        ///   - isExponentAllowed:Should the user be allowed to enter a e or E exponent character
        ///   - isMinusAllowed:Should user be allow to enter negative numbers
        ///   - formatter: NumberFormatter to use on getting focus or losing focus used by on EditingChanged
        ///   - onEditingChanged: An action thats called when the user begins editing `text` and after the user finishes editing `text`.
        ///     The closure receives a Boolean indicating whether the text field is currently being edited.
        ///   - onCommit: An action to perform when the user performs an action (for example, when the user hits the return key) while the text field has focus.
        public init(_ titleKey: LocalizedStringKey, numericText: Binding<String>, isDecimalAllowed: Bool = true,
            isExponentAllowed: Bool = true,
            isMinusAllowed: Bool = true,
           
            onEditingChanged: @escaping (Bool) -> Void = { _ in  },
            onCommit: @escaping () -> Void = {}) {
                _numericText = numericText
           
                self.isDecimalAllowed = isDecimalAllowed || isExponentAllowed
                self.isExponentAllowed = isExponentAllowed
                self.isMinusAllowed = isMinusAllowed
                title = titleKey
                self.onEditingChanged = onEditingChanged
                self.onCommit = onCommit
        }
        
        
        public var body: some View {
            TextField(title, text: $numericText,
                onEditingChanged: { exited in
                    if !exited {
                        numericText = reformat(numericText)
                    }
                    onEditingChanged(exited)},
                onCommit: {
                    numericText = reformat(numericText)
                    onCommit() })
                .onAppear { numericText = reformat(numericText) }
                .numericText( number: $numericText, isDecimalAllowed: isDecimalAllowed, isMinusAllowed: isMinusAllowed, isExponentAllowed: isExponentAllowed )
                //.modifier(KeyboardModifier(isDecimalAllowed: isDecimalAllowed))
           
        }
    }
    func reformat(_ stringValue: String) -> String {
        if let value = NumberFormatter().number(from: stringValue) {
            let compare = value.compare(NSNumber(0.0))
                if compare == .orderedSame {
                    return "0"
                }
                if (compare == .orderedAscending) { // value negative
                    let compare = value.compare(NSNumber(-1e-3))
                    if compare != .orderedDescending {
                        let compare = value.compare(NSNumber(-1e5))
                        if compare == .orderedDescending {
                            return value.stringValue
                        }
                    }
                }
                else {
                    let compare = value.compare(NSNumber(1e5))
                    if compare == .orderedAscending {
                        let compare = value.compare(NSNumber(1e-3))
                        if compare != .orderedAscending {
                            return value.stringValue
                        }
                    }
                }
                return value.scientificStyle
        }
        return stringValue
    }
    private struct KeyboardModifier: ViewModifier {
        let isDecimalAllowed: Bool
        func body(content: Content) -> some View {
            #if os(iOS)
            return content
                .keyboardType(isDecimalAllowed ? .decimalPad : .numberPad)
            #else
            return content
            #endif
        }
    }
I used the func  reformat(String) -> String rather than a formatter directly. Reformat uses a couple of formatters and was more flexible at least to me.
    import Foundation
    var decimalNumberFormatter: NumberFormatter = {
        let formatter = NumberFormatter()
        formatter.numberStyle = .decimal
        formatter.allowsFloats = true
        return formatter
    }()
    var scientificFormatter: NumberFormatter = {
        let formatter = NumberFormatter()
        formatter.numberStyle = .scientific
        formatter.allowsFloats = true
        return formatter
    }()
    extension NSNumber {
        var scientificStyle: String {
            return scientificFormatter.string(from: self) ?? description
        }
    }
I hope some of this helps others who want to use scientific notation and negative numbers in their app.
Happy coding.