It's happening.
I'm new in a private sector company. My personal twitter doesn't mention my employer. I've apparently been flagged as 'high risk' for my gender critical views (linking to articles, carefully worded, no abusive language obviously) on my twitter feed. Boss is sympathetic but has told me to be very careful and to not ever mention at work.
We are being silenced for holding perfect legitimate pro-women views and concerns. I'm fuming and scared - both for my job and for women.