Well, it makes me think the other person either doesn't understand what he or she is saying, or is choosing to not understand why he or she is wrong. It can be frustrating, especially when it's someone incredibly stubborn. Usually, however, I like to think that the logical fallacies people make in everyday conversation are generally harmless and can be ignored.
Is anyone not bothered by logical fallacies? Of course we are all guilty of them from time to time, but I'm pretty sure everyone hates them.
If anything, I'd guess that P types might be bothered the least by them, if only from experience. Two of the percievers in my household never seem to be bothered by logical inconsistencies, whereas it bugs me to no end!
I'm not bothered by logical fallacies as long as the other person is not trying to argue a point. If it's just a random statement then I don't see anything wrong with it. But to be honest, I don't really understand why people would bother to actually 'argue logically' over something in real life. To me it's more: we're not arguing, we're sharing ideas.
I deal with hard-to-please customers from time to time who would justify their complaints using some very spectacular logical fallacies. When I'm in the right mood it can be quite funny.