I think the key point the author is trying to make is: "Does biology play a role in what choices women make when it comes to selecting a career path?"
Clearly, this is not attributable to a single argument or factor. Rather, you have to look at several different reasons. Some are likely cultural, some are likely genetic and the interplay is going to be vastly complex (see e.g., epigenetics).
To make the argument, you have to survey a larger number of areas and show that they all point in the same direction, which is what the author is trying to do in the first place. And in particular, you have to demonstrate how the areas contribute to women making a choice against tech in general.
Hence, the studies showing how men are more often systemizing than women and so on are far better markers/arguments from a pure biological standpoint, than a difference in the 5 factor model.
Personally, I think most diversity programs fail to achieve any kind of success in improving the gender balance. In two prongs, you have to retain women who are already in tech, and you have to get more women into tech. The latter of those two is a hard sell if women simply don't want to be in the tech world, no matter how much you try to seduce and coerce them. And I think it would be too authoritarian to force them into a role they don't want to belong in.
I think the author is spot on with the observation that more competitive fields are more likely to have men employed over women. And more cooperative fields are better at retaining women. E.g., Law in Denmark has an almost 50/50 gender split, but women are far more likely to be employed in the public sector as lawyers. The law firms, where 80+ work weeks are the norm, are usually employing men. Jordan B. Peterson, whether you like him or not, posed the question as to why men are willing to fucking do that, and I happen to find that question quite interesting.
I also think tech in general would benefit from having some ventures which are more cooperative, but this is not likely to come from a highly competitive venture capitalist private sector, I'm afraid. Nor do I think Google can pull that one off.