Everybody wants free speech — but only for opinions they agree with. And they are against censorship — unless the "right people" are censored.
Recently, the left has been far more authoritarian, labeling everything they don't like as "far right hate speech", pushing to make dissent illegal, and demanding censorship. I guess the pendulum will swing the other way eventually.
It's not really a left VS right issue, but an authoritarian one. Free speech can be uncomfortable, that is the point. "Free speech, but…" does not work.