No, I rather confuse NT's with sudden emotional outbursts.
the only time that would have an effect on me is if i both cared about the person and the display was deemed genuine. after all, i'm very aware that i can forget sometimes that the other person may not see that i'm joking, or just trying to make a point, etc. so, when i see i've hurt someone i care about, i try to correct it.
otherwise, all it would get would be a rolling of the eyes, and/or laughter, and perhaps either my walking away from them, or my anger, depending on the situation and the person.
if it seems fake at all, my skin crawls, and all compassion goes out the window. sometimes, it's shown; sometimes, it's not, depends.
on the flip side, i can be very upset if i accidentally hurt someone i really care about and they don't tell me. this bothers me greatly.
for example, i just sent an email to a friend that i haven't spoken to in about six months explaining my actions/words on the last day that i saw them,
just in case (and i said this to them), i never get to talk to them again. told them that the thought of them believing a memory of us that is false for the rest of their lives was driving me crazy. so, i explained my side of things just to make sure they knew the truth.
the truth matters a LOT. which is why emotional displays that seem fake annoy me. actually, if over the top, they can even irritate when not debating, but just talking in general.