> Because homeschooling reinforces the societal stereotype that men work outside and that women work in the home.
My brother-in-law is the stay-at-home homeschool dad for his two kids, while his wife works. Homeschooling is completely orthogonal to traditional gender roles, it's just historically been highly correlated with very conservative families.
This arrangement is possible, but I wouldn't call it completely orthogonal. It requires one of the parents to stay at home, or both parents working part-time, but the two most frequent arrangements are working father+stay at home mother (conservative family) or two working parents (modern family), and most of the time when a family has to be homeschooling - like we've seen on scale during the pandemic - it's the mother who sacrifices her career.
My brother-in-law is the stay-at-home homeschool dad for his two kids, while his wife works. Homeschooling is completely orthogonal to traditional gender roles, it's just historically been highly correlated with very conservative families.