Yet it's a poor description of the way it actually works. Men don't have to "pursue women" as in all women. They didn't used to. The narrative has shifted and not for the better.
Men could just get to know many women as part of youth and community activities. They could pursue social experiences rather than play a numbers game to score sex.
Then, when they meet someone they actually like, they could choose to pursue her. So he's making a choice too and his choice is first.
That way you don't have hordes of sex crazed men annoying women all the live long day.
Then the woman can choose whether she's interested in him or not and proceed from there.