This exact pattern has been playing out with the COVID vaccine and the HPV vaccine. There are communities who are convinced that every medical problem they had since receiving the HPV vaccine is due to the vaccine, even though they’re all having different health problems that also occur in the overall population.
Of course you can just say they didn't investigate it enough or whatever, you aren't trying to make a reasoned argument and thus don't need to exercise reason.
Here is the link for all downvoters :-D
https://news.ycombinator.com/item?id=32465108
(Aug 2022, exactly what I said with "some years ago")