Obviously it will have negligible effect on anything, but I'm impatient for X to die a death, so anything that helps speed up the inevitable, even by an imperceptible amount...
Incidentally, references to "free speech" or "censorship" seem to be in the same category as references to "personal responsibility" or "common sense" - they are almost always invoked by people who are in reality entirely opposed to them.
Anyone who bangs on about being a "free speech absolutist" will invariably turn out to be the greatest censor going (even spending billions in order to control what people are allowed to say, or, as with both Musk and Liz Truss, threatening to sue anyone who says anything they don't like*),
Similar to how those who talk about "personal responsibility" will never take any responsibility for the effects of any of their actions (e.g. the politicians who say being physically active and not being obese is a matter for 'personal responsibility', while refusing to take any responsibility for their own policies making it harder-and-harder for anyone to travel anywhere other than by car), and those who invoke 'common sense' the most never seem to have any.
* I mean, here's a typical right-wing opponent of 'cancel culture' and free-speech warrior
Former prime minister says claims she “crashed the economy” are “grossly defamatory and indefensible.”
www.politico.eu