Accuracy of archery isn't as dependent on arm strength beyond what a trained woman can provide.
Sure some sports like running should be separated.
But it's not that many.
We can look at scores to determine which sports actually need separated. Instead of assuming they need separated.
Even billiards and golf is separated. For no biology reason.
Most separation came about because men wouldn't allow women into their sports so women formed their own.
Chess, like many male-centric activities has historically excluded women. This is why women are in lower numbers for many professions and hobbies. They arent welcome. The men are hostile to them.
It's not easy to stay in a hobby/profession where you aren't respected and everyone gives you the cold shoulder.
The fact that biological women can and do perform at mens levels proves it's a social exclusion, not a biological one.
It's kind of why men are lower in numbers in women's hobbies/professions. Except that it isn't necessary exclusion by women but mocking by other men and having their masculinity challenged.
There are plenty of men who are great at sewing, design, cooking, and even child rearing who are cis hetero men. Only in the last 15 or 20 years has it became more acceptable for men to have baking as a hobby.
Before then, cooking was women's work. Most men could barely use a microwave and would brag at their incompetence in the kitchen as an indicator of their masculinity.
I know it all gets so old so fast but these things still occur. Think of all the men who might be amazing seamstress or clothing designers. Or maybe could come up with new tasty foods to eat. Yet our society says they aren't real men if they venture out into these areas. And often they are mockes mostly by other men but even women are part of the problem and are known to mock men or ask them "are you gay or something?" When they tell you they love knitting in their free time.
How is knitting related to sexual preferences? I don't know but many people seem to think it is.
These gender role trends take a long time to change. And take specific interventions to change them. They don't change on their own.
Gordon Ramsey probably had a big role in changing the baking one. As crazy as that sounds. ( And other male chiefs and cooks on TV. )
Yeah your point about genetics proves my point.
Genetic Sex isn't binary in the first place.
That's why trying to make hard rules based on chromosomes or what genital parts are visible is invalid.
It's important to remember that all these activities we say are "for men" or "for women". Were invented long long after sexes existed and even 40,000-50,000 years or more after humans evolved into who we are today.
(estimate based on unknown age of humans).
I mean chess. Making clothes. Knitting. Archery even.
How could humans possibly evolve so that one sex is good at those things and the other isn't. ?
That's just silly.
It's much more likely we are all cognitively capable and have similar dexterity with variations in genetics accounting for differences between individuals. Not between sexes.
Obviously some physical strength differences. Men have upper body strength and women have lower body for carrying babies.
But that's almost all of the difference there is. Just those related to reproduction.