If you look at how we hire women today, it's clear that your quote accurately describes current reality. Men and women are attracted and hired differently today. If you disagree with this, you are choosing to ignore the biases every human possesses.

Please tell me which of Damore's recommendations amounted to opression. I see "we can make software engineering more people-oriented" and "allow those exhibiting cooperative behavior to thrive". Nowhere do I see anything even remotely comparable to Nazi treatment of jews or denying women the right to vote. In fact his suggestions attempt to improve the workplace satisfaction of women.