No that doesn’t make them mixed if you breed two game birds together, even if one Carrie’s the frizzle gene. If you bred a Silkie to a game bird then it would be considered a mix.Is breeding two game birds with one bearing frizzle gean considered a mix?
Your black and white ones may be purebred, being a bantam Ancona or mottled OEGB (but both those are not common) , I suspect they are mixed with other breeds. Same for both your black ones.