DatePicker Custom Initial View Date

When the date picker is launched, the custom initial view date is used for the calendar. But when a time is entered into the box, the current date is used instead of the custom initial date. Is there a way to apply the same custom initial view date to the input box as well?

I'm unable to reproduce this on our demo:

It works correctly if the DatePicker control is used to enter the time, but I don't think it works the same way if the time value is entered into the box directly. If I just enter 12:34 into the input box, it will still default to the current date. Is it possible to have those two input methods produce the same output?