There's no "inquisition" in medicine. That's an unsupported opinion I believe is false. Laura Hewitson and Andrew Wakefield are immediate counterexamples that come to mind. I expect any Doctor that took a public position against vaccination would come under a lot of social pressure at least, and may well lose job or opportunities.
What criterion are you using to select what counts as fact and what is immaterial? How would you identify an author who is being reasonably cautious not to make any unjustified statements? I don't look to authors to make statements or draw conclusions. If I can't draw the conclusion myself, its not valid. I look to authors to report empirical data, and maybe spell out a proof or calculation of its implications, but if I can't personally follow the proof or calculation of the implications, then its not valid. The point of the scientific literature is, its supposed to be verifiable by scientists, so I look at it in that spirit. The scientists writing it are really supposed to keep their opinions out of it, but when they can't help themselves the readers should exercise judgement themselves. I am looking at the questions as semantic, as being questions about the physics of the world, and understanding it as a physicist should. What's relevant is what's relevant to answering the physics questions such as "are vaccines causing damage?" and is decided by the physics of the world and rationality.
I wasn't aware of Ms. Hewitson, but it appears she can't devise a proper experimental design to save her life. As for Mr. (and most decidedly not Dr.) Wakefield, charlatan is the kindest word I can apply to him. His link between vaccination and autism has been disproved over and over and over and over and over and over and over and over again.
For example, what would be inappropriately off topic to post to LessWrong discussion about?
I couldn't find an answer in the FAQ. (Perhaps it'd be worth adding one.) The closest I could find was this:
However "rationality" can be interpreted broadly enough that rational discussion of anything would count, and my experience reading LW is compatible with this interpretation being applied by posters. Indeed my experience seems to suggest that practically everything is on topic; political discussion of certain sorts is frowned upon, but not due to being off topic. People often post about things far removed from the topics of interest. And some of these topics are very broad: it seems that a lot of material about self-improvement is acceptable, for instance.