Do you acknowledge this difference to be more pronounced between genders than within one gender?
This question really isn’t relevant on its own. You claimed:
there is a bigger difference between men and women, than between men and women themselves
To prove this statement it’s not enough to argue that there are singular differences from men and women, nor that that difference is more pronounced cross-gender than within gender. To prove this statement would require a summation of all qualities and differences both between and within genders, or at least the majority, then comparison of those summations. And you would have to prove that those differences are inherent and not instilled through cultural socialization. Hence it being a massive assumption, and unprovable
thats true, then I was wrong. I would however still very much bet my money on the hypothesis that it is.