I have a UIDatePicker using UIDatePickerModeTime that I use in an iPhone app modally, works fine:

Using this same basic code for iPad, but putting the view in a UIPopoverController gives some pretty inconsistent results. My desired mode (UIDatePickerModeTime) plus the other three modes are shown below. Notice how 2 of them are not rendering at all, but instead have no content
UIDatePickerModeTime

UIDatePickerModeCountDownTimer

UIDatePickerModeDateAndTime

UIDatePickerModeDate

What could be causing the UIDatePickerModeTime and UIDatePickerModeDateAndTime modes to go haywire?