Obvious as it may sound, people with authoritarian beliefs hiding behind free speech actually consider it as a weakness akin empathy. It allows losers like them to amplify their reach despite not being in power. They abandon their “free speech absolutist” postures the moment they think they are in power.
I guess the primary difference is between legally free speech versus socially free speech. The argument being that the government shouldn’t stop you from slinging slurs, while you have absolutely no right to not be ostracized/shunned/shamed by your fellow man.