If you look at it politically, there are people on the right in the US who complain incessantly about cancel culture and how they feel persecuted on Twitter who like to ban books and passed the "don't say gay" legislation in Florida.

CPAC, the conservative PAC, canceled Milo Yiannopoulos when was planning to speak there.

I don't blame them, because Yiannopoulos was always acting in bad faith. If one of his talks hadn't gotten canceled it would have been a personal failure on his part and a clear indication that he didn't go far enough and would have to be even more offensive next time. The point with Yiannopoulos was that he'd get canceled, get attention, find some fool who would pay even more to hear a "controversial" speaker, and repeat the cycle. CPAC wised up to what is going on.

Did CPAC try to get Milo banned from participating in public discourse? Or just not invite him to speak at their conference?

There’s a massive difference between de-facto public squares like Twitter and political party conferences.

Not OP, but this example is probably the most famous: https://www.cnn.com/2022/01/30/business/elon-musk-private-je...

Wanting privacy is not the same thing as trying to stop political speech.

Elon Musk, for instance, claims to be a free speech absolutist. However, in practice, he attempts to suppress speech that is expressed through bots that advertise crypto currency in replies to him.

Wanting to stop fraud isn’t the same thing as wanting to stop political speech you don’t like.

Free speech isn't just about political speech though.

That’s true but I don’t think it includes fraud by most people’s definition (which is most of what the fake Elon bots are doing).