I don't think of any good reason to define Array.get and List.nth this way. Given that pipeplining is very common in F#, they should have been defined so that the source argument came last.
In case of List.nth, it doesn't change much because you can use Seq.nth and time complexity is still O(n) where n is length of the list:
[1..100] |> Seq.nth 10
It's not a good idea to use Seq.nth on arrays because you lose random access. To keep O(1) running time of Array.get, you can define:
[<RequireQualifiedAccess>]
module Array =
    /// Get n-th element of an array in O(1) running time
    let inline nth index source = Array.get source index
In general, different argument order can be alleviated by using flip function:
let inline flip f x y = f y x
You can use it directly on the functions above:
[1..100] |> flip List.nth 10
[|1..100|] |> flip Array.get 10