I think if Damore had limited his criticism to the corporate DEI (which I found to be a bit heavy-handed and prone to critical theory groupthink) in a short doc, he probably would have been a bit more successful (in helping Google rein back its DEI training).
One rarely stated thing I learned over time working there is that managers read eng-misc and will prevent you from transferring to their team if they didn't like what you said, or how you said it, or who you said it to.