Exactly. The best way to prove someone wrong is to give them exactly what they asked for. I'm all for this! And after women are basically shut out of all sports because they just get absolutely dominated, they'll say that women need a separate space because of patriarchy preventing them from winning.

Rinse. Repeat.

But at least afterwards, we can point to the time they let everyone compete together and say "You already tried this once, and look how it turned out."