Human sexual dimorphism is about 15% (compared with 50% in gorillas). In addition, about 10% of the female population is larger than the average male population, and there is another subset that is also stronger than the average man. So, sexual dimorphism in humans doesn't really tell us all that much about the traits of the species other than that in most cases, men tend to have better upper body strength. There may be other differences related to hormones, etc., although except for one bump of testosterone in utero, prepubescent children have pretty much the same hormonal profile.

So, as I said in the OP, it's hard to determine what "nature" actually does because we cannot remove nurture from the equation. On the other hand, we can look in depth at the gender indoctrination that very clearly exists and note that this has significant impact upon our highly plastic brains and how they form, as well as the choices that are then available (or not available) to certain people based on their gender.

I'm not saying that boys and girls are essentially interchangeable, but at the same time, the differences between individuals is where we see the most distinction, not between males and females.