Once it became clear that the conspiracy theory was just that, repeatedly promoting said conspiracy seems to be of questionable value, to anyone other than the GOP, who themselves repeatedly sued twitter for the identity of critics.
So yeah, I do think it was reasonable to stop that propaganda after it became clear the conspiracy was false, and "reporting" on the laptop was being used solely to continue promoting that conspiracy. Is that a more borderline case, sure, I'll accept that. Is the literal president promoting the overthrow of the elected US government something that is debatable? nope. Is that something the anti-woke people say was wrong? yup.
So I generally equate "anti-woke" with: anti-law, anti-democracy, pro-violence, pro-bigotry, pro-segregation, pro-conspiracy, etc and I have yet to see any evidence that the anti-woke/pro-"free speech" people clamoring for changes to twitter do not fall into those buckets.
I have never seen any evidence in fact of an "anti-woke" person not defending hate speech, I have however seen many vigorously demanding that all LGBT content be silenced to "protect children", or that American history be censored or rewritten in school.
Given that track record it is hard to see that the "anti-twitter-censorship" folk are operating out of a position of good-faith.
I would invite you to read the article again if you think its propaganda:
https://nypost.com/2020/10/14/email-reveals-how-hunter-biden...