Today teaching men to be men is not considered to be important.
Neither is teaching women to be women. Both are needed in our society even though, maybe even especially because, both roles are evolving rapidly.
Other than Masonry, teaching role models have been ceded to families with societal evolution happening too fast for most to react plus sports that seems too focus too much on winning to put value on sportsmanship and trade off between cooperation and competition. Now the type of sport focus on winning is now being taught to girls as well.
It's getting to the point were women need groups that teach a wide perspective on femininity even more than men need groups that teach a wide perspective on masculinity. We've got lodge and Boy Scouts (until folks notice that they are now a popcorn selling business).
In my Mom's generation there were all sorts of groups only for women. Now my wife has trouble finding even one. The cookie selling business aspect of the Girls Scouts long ago triggered anti-discrimination rules to force them to start taking boys. Masonry emerged in a time when women had more groups to chose from than men. Now that table has turned.