The fact that the NYT article only touches on one point has turned the HN thread into a debate over if tweets about masking, vaccine cardiac side effects, or whatever were right or wrong.
But that's immaterial to the law here and it's important because there is clear polarization between posters on the underlying facts. But we don't have to agree on the substance of the censored speech to recognize that the state's use of coercion to suppress views it disagreed with is plainly unlawful. The 1A doesn't only apply when we agree with the speech being protected -- in fact it's most important when we don't: Speech almost everyone agrees with is going to get communicated no matter what the government does to censor it, it's unpopular views that are the most in need of 1A protection.
So I think NYT does us a disservice by falsely portraying this as being about 'covid misinformation', as it invites everyone to substitute a discussion about the states power to censor here with yet another debate on covid -- a debate itself which has been tainted by politics and censorship.