It’s not just that women are the leaders, it’s that men aren’t usurping the leader roles, based on some inexplicable tendency to confer authority to males. When Vassar went coed, I remember reports on how quickly the balance in leadership shifted to males.
And it’s not all about boys being around, on weekends or whever. Sure they are. But it’s a different mindset, imo. And that can carry through life.