The thing with pieds is that it does seem to be random, but really looks are determined by genetics, so I see why it would make sense for high whites to give more high-whites in theory, and vice versa.

I was going to put something super-genetics-y right here but I disproved myself, so my only option is that it is completely random, even though it would make more sense to have some degree of predictability because appearance is determined by genes.