Yeah free speech is more of an authoritarian/libertarian thing than a left/right thing.
I fall somewhere in the middle on it.
On the one hand, I don't like the far left's increasingly harassing those who don't share their views and using "I'm offended by that" as a way to try to shut down differences of opinion.
On the other hand, free speech does not mean freedom from accountability. If I were to start openly preaching that "black people are subhuman and women shouldn't have the right to vote" social media platforms or my job would be right to deplatform/fire me respectively if they don't want to be associated with that kind of rubbish.
I mean, one could argue that talking on the phone is free speech, but what if the conversation I'm having it hiring a hitman to kill someone? I may not have pulled the trigger myself, just exercising my "freedom of speech", but I am still responsible for the resulting murder.