There are sports/games (don't know the exact difference here) where there's no advantage for a certain sex. Think chess, darts, biljarts, curling, ...
However even there, there's typically a separate competition for women.
The only relevant argument is: Is there a market for category X ?
I thought that when it came to chess men do dominate as well. So it would make sense to also have a women’s category.
Do any of your examples have women in general as competitive as men and still having their own category.
Chess is a nice example: the strong women will compete in the 'open' category, as will the strong blind players. 99.99% of chess players will get their asses kicked by a 2600+ player (and there are several women at that level)