I wonder how it adjusts for culturally pushed gender differences. Women could have the same opportunities as men but be expected to have different tastes, be subjected to different experiences growing up, etc. which could affect their choices in latter life.
I don't understand why people care so much whether preferences are biological or cultural. (Well, I understand it if we assume they are being dishonest, so assuming that something is not biological allows them to claim that it can be changed to whatever they think is morally superior. The debate whether being gay is cultural is a good example.) If I am given a true freedom to choose, to decide according to my prefere…
For example, if girls tend to prefer playing with dolls instead of toy cars, is it nature or nurture? If nature, then maybe there's a biological basis for why less women go into stem. If nurture, then maybe it's society's norms and expectations that explains why women more often go into people-oriented jobs like teaching and nursing.
When you look at it this way, you can see why the difference has political implications.