Although gender is a political correctness nuclear landmine, imagine if chess had aptitude diversity rules. "No, you can't castle if your Elo is 800+."

My impression is contract bridge has somewhat gender parity in terms of who plays it. [0] The ranking of contract bridge players doesn't appear to measure current quantitative strength, which seems to encourage volume of play rather than skill.

0. https://www.acbl.org/tournament/