The difference between distribution vs. averages is important. See the image linked to below. Damore is arguing the top half of the image. Many people mistakenly believe he is arguing the bottom half. Perhaps you believe the top half is unfounded too, but it's an important distinction.
Right. And what many have said is that there is not enough evidence in his to support the top half on his claim of biological abilities. Preferences, sure, but that can also be attributed to social constructs which he specifically tries to rule out.
It's splitting hairs to make it about distribution when there isn't sufficient evidence to support a distribution in the first place.
Here is an article from Heterdox academy that attempted to do a metanalysis of studies to determine if Damore was correct in saying there are certain traits that men display a wider distribution on. They conclude he was.
I have not personally looked at any of this data, nor vouch for it or Damore's or their conclusion. It could be wrong, either because the current best science is wrong or because the summary is unfair or inaccurate. My only point is that it appears to be a statement with some scientific support, not something that can easily be dismissed as false.
https://heterodoxacademy.org/wp-content/uploads/2017/09/Damo...