I'm not sure why you are so adamant about evidence here. Bloom is just one example of someone who did some research and put together an argument, which was then cited by Damore for a single point in a larger piece. I do believe that particular point is valid (as it's completely accepted in popular culture) but regardless the greater issue is that it can be discussed at all.
You seem to be saying that it shouldn't be discussed at all... because there's no evidence for it? People talk endless about many things that have no evidence and are purely conjecture, just to start exploring a certain perspective (which usually comes before the hard scientific research). Why is that a problem?
Also this is more interesting since its an insider opinion by an educated man. You are trying to dismiss Damore outright without counterargument. That's not productive.
Not looking to keep this discussion going, take care.
You cited an separate but sinilar part of the argument from the wrong side.
When it comes to policy, it is generally accepted that empirical/statistical evidence is a better tool for building an organisation than empathy.
If an argument doesn't have evidence, it has less value than something that does, that's why the way people are still talking about it like it's something more interesting than a 4chan post is confusing.