This self censorship is most often meant when someone criticizes political correctness. It doesn't mean that you should unnecessarily put people off with inflammatory language. But I think it could still get you fired if posted on Twitter, at least a few years ago. Some people with especially large incomes seem to be immune though.
Hah, yes, like JK Rowling! If you are a self made billionaire, you are pretty immune from the twitter mobs, and can make controversial statements such as "there are only two genders."
It is a matter of definition and she is probably wrong if academic definitions apply, but yes, that is one prominent mob. There are others of course. If you think that these dissections were meant to free yourself from expectations, it is kind of ironic to have a twitter mob coming after you for wrong opinions. Completely defeats the purpose and then some.