I'll just wrap up my point, as I have a free moment. It's a plain fact that women generally have physical disadvantages compared to men, but this doesn't automatically mean that the two genders cannot compete against each other in various sports.
Chess even shows that for certain types of sports, separate competitions might even be counterproductive.
Previously in chess, there wasn't such a strong emphasis on separate women's titles like WGM (Woman Grandmaster). The highest title, GM (Grandmaster), was and is open to everyone.
Some argue that the introduction and greater emphasis on separate categories like WGM might have paradoxically had a negative effect on some female players, as it could have reduced the motivation to strive for the absolute highest level in direct competition with men.
A great example is the Swedish Grandmaster Pia Cramling. When she was reaching her peak and earned the GM title (in 1992), it wasn't as common for women to focus primarily on women's titles; WGM, they competed predominantly in open tournaments with men.
Today, this respectable granny Grand Master still plays at a very high level, and it's logical to assume she would defeat womens who have "only" achieved the WGM title, which generally has lower requirements than the full GM title earned in open competition.
Perhaps I overreacted yesterday and was a bit rude, for which I apologize. Peace.
I hope this example will at least be useful in some way.