It's well past time. The social media sphere is full of misinformation about vaccinations.
It's noteworthy that on Facebook, 65 percent of the anti-vax content is produced by only 16 people. This is not a mass movement of reasonable debate, it's an orchestrated campaign of misinformation by cranks, trolls, and bad actors.
On a personal level, I would agree with you 100%.
But my fear is that many on the left painted themselves into a corner on this one.
I stated in a thread a month or so back, that it was flawed to look at Facebook/Twitter as simply "they're a private entity, they can do what they want" (a position many on the left were hastily getting on board with to fight back against efforts by people like Ron DeSantis when he was suggesting penalties for the platforms when/if they banned & blocked conservative candidates)
I believed then (like I believe now), that despite being "private", on-paper, once an entity accumulates a large enough critical mass that makes it the de facto "public square" and the primary vehicle for speech, there does need to be safeguards and checks in place to prevent negative manipulation from happening on the platforms.
The topic then was political outcomes, the topic now is health outcomes...but both are important.
The sticky situation we're in now is that, the side that's being more reasonable about vaccination (the left) is the same side that just got done saying a month ago that "Facebook is a private entity, they can set whatever TOS they want, and a government shouldn't be able to interfere with that"
And the side that said a month ago "despite being a private company, they've become the new public square, and thus, are subject to regulatory efforts to make sure they're not manipulating certain types of outcomes" (the right) certainly can't be counted on to provide a rigorous opposition to vaccine misinformation.
I think what I said in that thread about a month ago was to the effect of "don't throw the baby out with the bathwater in order to secure a small victory over something trivial, because that may come back to bite us all in the rear when something much more substantive comes down the road"
Vaccine misinformation is that "something much more substantive".
Many on the left were so amped up on being able to defend Twitter/Facebook with regards to the premise that the platforms can reserve the right to deplatform a GOP candidate who espouses an unpopular viewpoint on Trans issues or election conspiracy theories, that they went "full libertarian" and said "they're a private company, if you don't like it, find another platform or build your own Twitter"
In doing so, opened themselves up to the predictable response that the right is going to have, which is going to be telling them "if you don't like that Facebook is allowing vaccine information, go find another platform that doesn't or build your own"
People on both sides have become somewhat conditioned these days to seek short-sighted gratification in the form of "owning the other side", over prudence and a strategy that extends beyond the next 3 days.