For the record, I am pro vaccine, I was very pro mask during COVID, and I strongly supported the various lockdown and masking policies. If anything I felt they often didn't go far enough, prioritizing continuity of business over public health. For the most part I stand by those positions. The question here is not the validity of anti-maskers or anti-vaxxers, or the question that their visibility can do harm to society. I believe it is pretty obvious that such groups did some serious harm and cost a lot of lives.
The question here is whether the government should be coordinating with technology platforms to suppress speech it disagrees with or considers harmful. And I think the answer is hell no. Even if the requests in the COVID era were helpful at suppressing misinformation, suppressing speech period is not a good thing for government to be doing (especially as a matter of normal procedure).
Go back to the 9/11 era. It was a similar situation, just with the parties reversed. Then a Republican government was saying limits on civil liberties were essential for national security, and opposition to these policies help terrorists. Now a Democratic government was saying limits on civil liberties were necessary for public health and opposition to these policies spreads disease. The merits of these two positions are irrelevant. What matters is that a free American people should have the opportunity to make that judgment for themselves, not have the "wrong" answer suppressed before they even see it. Because if we suppress the 'wrong' anti-vax today, then we open the door to suppress the 'right' answer tomorrow.
If American people are such sheep that they must be protected from 'wrong' ideas, then the answer is not censorship, it is education. If we are that stupid, that we need to be treated like children, then we need to very quickly and with great urgency figure out why our educational system is failing to teach critical thinking and fix it immediately.