Theoretically true, but it would create problems that people (and players) wouldn’t want to admit, it’s one of those cases where it starts rotting from inside out.

Managing is already complicated, it just adds more layers of problems that no big team would risk for, and how would any big team go for it when women managing a team doesn’t even happen on bad teams of lower leagues? You have to prove yourself first on the ladder like everyone has, but the first step is one of the most complicated, getting into managing a men’s team in the first place.