I believe the "nurture" notion is a result of a subjective bias. We want it to be true.Men are naturally more aggressive in their thinking due to that little hormone called testosterone. It affects how we see patterns, ball position and shot selection as well as execution.
Women are the nurturers, for want of a better word and they see things from a totally different perspective, thus affecting their approach to all of the above listed ways men tackle the game. Neither good nor bad, just is.
Androgens do cause one to be aggressive, but women have androgen too. And we aren't simple products of our hormones, nor our genes. None of us are.
I think it's more accurate to say the males are more task focused and less capable of multitasking. Females are very capable at multitasking. This leads to their talents and aptitudes being different and somewhat polarizing and binary. However it is a spectrum, some men can multitask well, and some women can't.