What you support is the selective suppression of ideas that you don't like. Don't call it moderation. Call it by its name. Censorship.
Cloudflare isn't 'moderating' 8chan. It's deplatforming it and enacting censorship.
Free speech is the equivalent of "utopia". It doesn't exist because even the most ardent endorsers have shown kinks in their armor where they don't want people to use it against them at certain times and certain ways. You argue against the selective suppression of ideas yet you may reply to me and tell me this idea needs suppressed. Most people already see the kinks of hypocrisy in it and have long realized it, like all other freedoms, are best used moderately so as not to infringe on the freedoms of others.
> Would you want me to come up to your kid and cuss him out for no reason? Your mom?
We're talking about an online discussion group that discusses things that some, including myself, find objectionable. We're talking about whether such groups should be allowed to exist, and by extension whether those ideas should be allowed to exist. You're talking about harassment with an example that doesn't even intersect freedom of speech. Terrible strawman.
When I emigrated from the former Soviet Union, freedom of speech was one of the bigger changes in everyday life. It was also something that people were proud of and supported. They understood that it's what allows democracy to function, they understood that by definition it means supporting objectionable speech. Now I'm watching the tide turn and the same people actually supporting censorship in their own nations.
I always thought the censorship and thought-policing started with the oppressive government in the Soviet Union, I didn't believe that people initially welcomed it. But here we are, the cycle is repeating again.
I understand people's dislike for any kind of censorship, because it's immensely difficult (impossible, perhaps) to trust the people doing the censoring to be free of bias and to always do the right thing. And I agree with that!
But let's not pretend that all ideas are equal and great. That's just a flat-out falsehood. Some ideas don't deserve to see the light of day. And sure, it's difficult to trust any group to make that judgment. But doing nothing isn't a great option, either.
Don't get me wrong: I don't want to see a government making things like 8chan illegal. But I also don't want to see a government requiring that companies like Cloudflare rebroadcast 8chan's content against their will.
The entire topic of this post -- 8chan -- is a fine counterexample to your idea there.
Moderation is the process of keeping a board functional and snr high.
Censorship is the process of suppressing certain types of content from the board. In this case legal content.
You can have high quality discussions on less-moderated boards, e.g. any of 4chan's interest boards. And you can have low-quality discussions on highly moderated boards, e.g. all of Reddit default subs.