Male characters absolutely do it, but it's less often they make it a sole character trait while they're in game. Bucky Barnes might inexplicably take up with a knitting circle, but will still go out and get involved in conflict shit and game plot.

I'm not interested in playing with people like the Black Widow mentioned upthread, who just want to erase everything interesting about her in lieu of little 50's housewife-style bullshit, thanks.