I believe the reason has little to do with a difference in gender abilities and more to do with encouraging participation in a demographic that is struggling in that area relatively.
No harm in believing what you like, but it doesn't explain why there has been an explosion in Chinese chess talent recently when as a demographic Chinese people have been playing serious chess for a lot less time than women have. You can say you believe women's abilities are as great as men's but - at the top flight - where's the evidence?
Similarly, there are a larger number of women playing tennis, and so it again stands to reason that the level of competition would lead to more skilled female palyers than male.
And yet I suspect you will struggle to name one skilled female tennis player who'd be able to make a living out of tennis if she had to play against men.
I believe the reason has little to do with a difference in gender abilities and more to do with encouraging participation in a demographic that is struggling in that area relatively.