Earlier quoted context omitted.
Politics at the national level is made up of outliers, like sports people and actors. It's entirely possible that women are better at politics but not better than this 0.01% of people at politics, especially considering that men deviate from the norm more often.
What about local politics? Surely that's dominated by women? What about the politics of a social club, a trade union, or similar groups? Are they all dominated by women? (Answer: No). 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 natural…
Here's a UK survey of chefs: http://www.bighospitality.co.uk/People/Survey-finds-imbalanc...