Theoretically there's no reason why a random true albino chick shouldn't just appear, because it can be caused by a freak mutation, which is what most albinos are. However, I would say that 1 in 10,000 is probably too common for it to be mutated albinos that are showing up, and I would think that what you have is a recessive white (A&M or English) and that 2 of their breeding birds carry a gene for it but obviously due to the nature of their system that particular cockerel isn't always in with that particular hen and such and it's only very occasionally that a white chick shows up.
However, sometimes in animals the red eyes aren't easy to see, because they don't show the whites of their eyes and most of the eye that we see on an animal is actually dark pupil. We have lutino budgies which have red eyes, but they look black to me, it's only when I look REALLY closely (not easy on a small bird) that you can see that their eyes are actually dark red with a big black pupil.
I wouldn't be surprised if there isn't a true albino out there which someone thinks is just an A&M or English white with no spots because they've never looked at the eyes closely enough. The sheer number of quail in the world, the chances are very high that there's a mutant out there, like in most other species.
