You didn't address a very important point that the parent comment made which is that trusted authorities like the CDC are more likely to correct their mistakes whereas anti-vax propagandists will never retract their statements. That's part of what makes the CDC trustworthy compared to the propagandists.
The fact that the CDC or any other trusted public organization has technically made a mistake in the past seems like an irrelevant distraction. Haven't you ever had an argument with a spouse or family member where you called out something they were doing and they came back with, "Look who's taking."? And that felt like a bullshit tactic, right?
Accusations of hypocrisy are a really common fallacy in debate. They contribute nothing to the discussion at hand and are basically just an appeal to emotion. And what you're doing is just a version of that.
There’s no obligation for YouTube to give terrorists a platform. Regarding a booster shot, I’m sure they will make reasonable calls, nearly exclusively only silencing bad-faith actors. Much like their policy towards CP or terrorist content.
Now in this case youtube is probably right "scientifically", but what if they weren't like with masks? You basically have 0 discussion or challenge allowed to the authorities position.
And lets just bring in the recent controversy here, a panel of scientists said third shots shouldn't be administered. Yet the government decided they should. Which position will youtube censor?