I am going to assume that you meant that if men did NOT approach women......
and say that there are a number of responses from women who claim that they had to ask their present husbands/boyfriends out for the first time, because the guys were not very "active" about it. These women did not feel "desperate" nor "needy" ,and say that once this was done, the guys took over "everything",
maybe relieved that the women had showed their interest.
As someone who has NEVER approached a woman, I imagine that more of that is going to happen, since fewer and fewer guys are approaching.
It seems to be a hit and miss thing sometimes it works and sometimes it don't. That's a good question because i'm not sure either.