How can the paygap truly not exist when there are so many wealthy, right-wing, male sexist types in HN, Silicon Valley and any industry really?

Maybe you shouldn't rely on a thought-experiment when you can do data: Adjusted paygaps consistenly range between 4-7%.

Say, the SJW publication Fortune:

http://fortune.com/2016/04/12/myth-gender-wage-gap/

Or the left-wing washington post

https://www.washingtonpost.com/graphics/2017/business/women-...