I think some of the perceived difference in prevalence between the sexes may be down to breed popularity. To make barred female offspring, one needs a barred rooster. There are more breeds without barring than with. The odds that any given individual would keep a barred rooster in a mixed flock setting are lower than them keeping a non-barred rooster. Taking that a step further, since barring is sex-linked, it's often used intentionally in both purebred birds and crosses to determine sex at hatch. Fewer males ever make it into the chicken coop in the first place because they're weeded out at birth. Fewer still are chosen to stay as breeding birds in mixed flocks. The odds of a barred hen winding up a breeding animal are much higher. When a barred white bird occurs, it's much more likely to be male because more barred hens are sold and maintained for breeding than barred roosters, in general. If there is a difference in prevalence, I'd chalk it up to our artificial selection, our preference for females and the nature of barring inheritance.