I'm not sure how you can merge the two theories that "Women are just better at people skills" and "Women aren't better than the best". The whole thesis is claiming that women are as naturally superior at people skills as men are naturally good at tech/STEM. Google is supposed to hire the best, and it's >50% men, so why isn't something that "hires the best" (in politics) still <20% women (e.g. US Congress).
I remember my time in the Harry Potter fandom, which is ~99% female. Boy, was there politics. I can remember some truly epic [1][2] incidents of Internet drama all driven by people seeking social status through any means of manipulation possible.
[1] https://fanlore.org/wiki/The_Ms.Scribe_Story:_An_Unauthorize...
[2] https://fanlore.org/wiki/Victoria_Bitter_Wank#Further_Readin...
How much counter-examples can you ignore before you say well maybe this "women are good at people skills, men are good at STEM". It seems like people really think "well men are better at basically everything"
In industries that actually are 50/50 or majority female, you do see a number of women in top leadership positions. For example, the president of the national teacher's union is a woman [1], as are the three co-presidents of the national nurse's union [2], as is my alma mater's (which only went co-ed in 1974) college president [3].
[1] https://en.wikipedia.org/wiki/Randi_Weingarten
So where are the places which are 90% women? Why isn't politics 90% women. Instead it's about ~20% and that's after years of campaigning & activism.
[1] https://www.dol.gov/wb/stats/occ_gender_share_em_1020_txt.ht...
Here's a UK survey of chefs: http://www.bighospitality.co.uk/People/Survey-finds-imbalanc...
IMO the biggest counter-example of the "women are better at working with people / soft skill" theory is politics.
Politics is all about who you know, who has your back, how you can get people to do what you want (the voters, other party members), how you can get people to like you, can you predict when someone's going to stab you in the back? can you predict when to stab someone else in the back? Should you support person X? What will person/group X think if you support person Y/policy Y? It's all about soft skills, it's all about reading people, it's all about working people.
You don't need maths or logic, or numbers,or rationality, or science for politics. I'm sure we all know how bad many polticians are at science/STEM.
If these theory were true, you'd expect women dominate politics in the same way men dominate tech. But that's not what you see at all. Advocates for the "women are better at soft skills, and worse at numbers" need to explain this glaring counter-example. The other theory, of institutionalised sexism against women, fits observable reality better.