I give you two examples:
* US Soccer Federation Men's and Women's national teams
* Boy Scouts and Girl Scouts
In the first case, an umbrella organization includes both.
In spite of the fact that the WNT is a money loosing proposition, in spite of the fact that the men's team sells many more seats - and nets much more revenue per game, and in spite of the fact that the Dallas Stars U15 boys developmental team trashed the women's team 7 to 0 - the women are suing for "equal pay".
Clearly, the was no benefit for the US Soccer Federation in having a women's team, and they would be well advised to just focus on the type of soccer people actually watch - men.
In the second case, the complete separation of the Boy Scout and Girl Scout organizations in no way protected the Boy Scouts from infiltration by social justice types, homosexuals and eventually girls. By separate from the girl scouts meant that there was no way to exclude budding feminists (i.e. girls who want to pretend they are boys).
I don't know what to make of this. Organizational structure appears to be irrelevant - there is no way to protect a formal organization from social justice and the depredations of activist women.