Should I be allowed to go on national news and present irrefutable evidence (AI-generated of course) that the president is a lizard person?
By default, I should, because it's a free country. But what if enough people start believing me that the country falls apart? Should the country let itself fall apart or should it perhaps try to stop the whole thing?
By default, you should be allowed to say that the president is a lizard person, and show your "irrefutable evidence". On national news? Only if you can persuade a national news show that they should (or unless you own a national network).
But if you don't own them, they're not going to show your "proof" (except perhaps as comedy), because they have a reputation they need to maintain. And if you own them, they're still not going to, because they'd lose reputation (and therefore market share), and they'd get sued for slander and lose.
That leaves you showing your "proof" to whoever you can persuade to listen, without going on national news. I'm not sure I see the problem with that.
Yours is a disingenous argument for authoritarianism and censorship.
You or your government of choice are the arbiters of truth and, of course, you wouldn't lie, only your political opponents who invent obvious malicious lies that are an immediate danger.
Your actions are good or mistakes and they don't present immediate dangers, only the criticism of your actions does.
In case my sarcasm wasn't obvious. A resounding rejection of all your propaganda for authoritarianism.