But wouldn't a male production red be mostly white, as they are sexlinked?
As I understand it, Production Reds are Rhode Island Reds who are selected primarily for their laying capability as brown-egg producers rather than according to the Rhode Island Red Standard Of Perfection.
Red Sex-Links, whose males are indeed white (with red leakage), are hybrids between two different breeds in a cross intended to make it easy to tell males from females at hatching.