You seem to be arguing the validity of an offensive stereotype with the person that it offends, not understanding why it is offensive. I’m guessing I could find research supporting just about any stereotype, but again, that isn’t the point here.
The writer used the stereotypes to support a more harmful thesis, and that is why women are upset, and why Google saw fit to fire him.
By the way, this will be my last response. I don’t anticipate that you and I will be able to find common ground here. I wish you well.