It is seldom the veracity of facts that the debate is over; it is their significance. But that happens to be where this falls idea falls short, because misinterpretation of facts is where the most potent misinformation comes from.
Case in point, "vaccine injury" -- which is a real thing, albeit very rare. Anti-vaccine activists point to the growing volume of awards made by the US "Vaccine Court" (more accurately called "The Office of Special Masters of the U.S. Court of Federal Claims") as proof that vaccine injuries are on the rise.
It is a verifiable fact that the volume of awards has grown since the early years of the program. That is absolutely and unquestionably true. However, that this is proof vaccine injuries is gross misinterpretation, because the "Vaccine Court" program is no fault. You don't actually have to show the defendant *caused* an "injury", you only have to (a) show the child got sick after being vaccinated and (b) find a doctor to sign off on a medical theory by which the child's illness *might* have been caused by the vaccination.
Since you don't have to actually prove injury in "Vaccine Court", the rise in cases and awards doesn't know vaccine injuries are on the rise. All that is necessary is that more people think that their child's illness was caused by vaccinations, and the low burden of proof will automatically ensure more awards.
And so there you have it. A perfectly factual claim can be cited in a way that leads people to preposterous conclusions.