I don't know if I can phrase this in any way that makes sense. Do you ever get annoyed about statements that are innacurate, but they're about someone/something you don't like and to try to clear them up, especially on social media, seems not worth the trouble, because then people will just accuse you of defending the thing/person you don't like, even if you clarify first off that you're not?
I find it annoying if, in the name of something you support, people spread things that aren't true, because it makes you look just as bad as the 'other side', eg some people would share anything bad about Donald Trump when he was president, without checking if it was true or not.
I sometimes wish there was some agreed online shorthand for 'This is not a declaration of support for the person/movement this has been said of, but we need to declare this innacurate', so one didn't have to waste time dealing with people telling you 'Oh so you support THEM then'. Although even if there were, plenty of people would ignore it, as seen by numerous posts starting 'This is lighthearted...' or 'Note I am NOT saying X' which are still reacted to ignoring that!