That makes sense to me. If I was hired to work for someone and they were posting stuff on Twitter like, "<my group> people are all pieces of crap," or any other

That makes sense to me. If I was hired to work for someone and they were posting stuff on Twitter like, "<my group> people are all pieces of crap," or any other negative generalization, I too would probably sense animus in stuff that I normally let slide at work. I believe that this understanding is at least in large part the source of the protests that led to him being shown the door.