FWIW, I'd like more women to approach men. I think the world would be better off with women approaching men as much as men approach women. I think *I* would be better off, because I am totally one of the guys who fits all three of the categories you said. (Although depending on the game, I may not be receptive to conversations not involving Drew Brees or Marcus Mariota.) And I don't think that it's a horrible idea that will never work. I just think that if the average method of finding guys has a 30% success rate, this method has a 20% success rate. (I have no idea what the actual success rates would be, so I just used easy numbers.)
I'd say there's definitely a possibility, but all strategies are not created equal, and that one is *somewhat* below average.