I don't think they have the right to not report it, but I think they have a right to be a bit more skeptical about the crime. They might take the person less seriously if their being rude. Of course this wouldn't apply to all types of crimes, if it was somthing like the complainant was being rude, but was reporting someone had been murdered/raped/assaulted, of course the police would respond anyway because the complainant is most likely distraught at what they discovered. But if it's something like, some kids refusing to stop hanging out outside of a convience store after the owner asked them several times to leave, then goes off to call the police, and rudely complains about these kids out of his store, and telling then police to drop everything just to get these kids away... ehhh... they probably wont respond to it, and think the guy was over-reacting.

So does manners matter when reporting something to the police? To a degree, yes. If you want the crime to be looked at, then you should try to be complient and polite with the police.