I did not check every claim in that article.
What I did check, did not check out.
They show a video of Peterson arguing that being a CEO of a billion dollar company is basically pointless stupid competitiveness and men happen to be more pointlessly stupid in that regard, and the blog interprets it as him saying women should not try to be CEOs
That video is the center of the argument (the thing the post 'builds up to') in the blog's own estimation.
https://www.youtube.com/watch?v=hU7AewaHr0Q
