I can vouch for this.
I was abused by my father for 2 years when I was 12-14.
I was, and still am scarred, but I have managed to overcome/sidestep it and hold down a worthwhile professional job for 35 years. I have never thought "I can do what I like because of what happened to me".
I'm not saying I've not been affected. I struggle with attachment and I still suffer anxiety and I have to have a pretty strict routine to get through life.
Unfortunately it breaks some people. Some can manage it. Others, not so much.
That said, if I was a misogynist, unable to treat women with respect particularly in a work environment, I would expect to be seen as a bit of a problem.