"Bullying" is actually a great example of something that once we decide the concept is bad, there is a rush from people to frame everything they don't like along those lines. I'd suggest that under the blanket and nebulous headline of "bullying" are actions that are already illegal like harassment and assault.

Bullying is an additional level of action, right? If you're using a different verb it probably also means additional actions that aren't simply speech.

I dislike bad stuff too. Bullying is wrong and should be stopped. Hate speech is also wrong but I'll defend people's right to speak.