I would disagree with your assertion that gender specific items are "nurture" and not "nature", and a lot of research would disagree with you, too.
I remember reading about a specific study done on humans, but I can't recall enough to find it at the moment. However, there seem to be several similar studies done on primates that reinforce the conclusion.
https://www.psychologytoday.com/blog/the-scientific-fundamen...
/edit Here it is