Think about if it was reversed.
You're somewhere and there's a list of single women...
Every woman there would be swarmed upon, which is a situation they already have. (Open an account on any dating app as a woman with no image, or bio, you'll still get plenty of messages/matches)
The example is a good case, they might not even initiate, just stand in viewing distance of a single guy they like.
Women filter their choices more than men.
Bumble works for a good chunk of women who will initiate once filtered to something they're vaguely interested in. The number of conversations initiated by women on tinder must be close to 1%, if that.