A quick look at Simon Baron Cohen's tweet[1] (linked from the article) shows that this topic seems extremely divisive and inflammatory to people. Is this retraction and resulting modified study seen as an important victory for people promoting that there are no differences between the "male" and "female" brains? [1] https://twitter.com/sbaroncohen/status/832490232721371136
But like anything involving gendered characteristics in humans as expressed in the world, the range of observed behaviors within the two populations overlaps so much it’s hard to draw meaningful conclusions about any individual by differentiating the two.
Based on my personal experience and from talking to others who have medically transitioned, the difference between “inherently male” behaviors and “inherently female” behaviors can be nearly entirely explained by hormones. As in, you change hormones and the behavior changes: testosterone tends to cause elevated anger / aggression while estrogen tends to make people more neurotic with a wider range of emotional response. That’s it. The rest of the differences are either personality or environmental / social factors.