Pirate radio, printers, peer to peer sharing, digital formats in general, not controlled by the state and you can still use or access much of that equipment or content. It's not convenient or easy for people, but for the most part it is doable.

"Progress in communication technology means increased propaganda / hate speech / whatever reach. Now you have two choices, do nothing, or try to curb down their reach. Should we be ok with live executions on twitch/yt/fb ? You're free to think that we should, but I'd argue most people are against it."

Those are private entities and they can choose what they want to do on their site. Also, you have distorted the argument as against any type of action against all forms of speech. No one here is saying we should allow streaming of rape, child pornography, murder, etc. Those are already illegal and that problem is already dealt with. The issue we are talking about is allowing people's ideas to be spread.

Already in this thread within a day you see people talking about anti-vaxers and flat-earthers in a debate that is actually supposed to be about extremists and terrorists. But, as these things do, you start pondering the scope and what other bad ideas we shouldn't have let spread or could have been stopped if only we capped our freedoms.

I don't think the state should be in charge of deciding what is and isn't protected speech in this case. Once it is done, when its in the hands of the state, good luck trying to get it undone. It's the edge our understanding. We are more connected than we have ever been before and the complexity of the issue is extremely high. Rushing into the situation and putting a blanket ban on types of speech is a bad idea.