I am a medical doctor. I feel comfortable with the current state of research on the safety of vaccines for endemic diseases of childhood, annual influenza, and pneumococcus.
I don’t really care whether they feel legitimized; I see the actual physical harm their fear-mongering (and often outright fraud) causes.
There comes a point where the weight of data is such that people are not questioning unsettled science, they are merely lying. You’re welcome to paint a slippery slope if you like, but this is a difference in degree that is a difference in kind. Is there a line drawing fallacy at play? Yes, which is why my original post was specifically worded “the more extreme types.”
To your original point, which I think you have spent a lot of time shifting goal posts on: I would wholeheartedly censor these people, and not because I fear there is any germ of truth in what they are saying.