Is this an example of political correctness silencing you? I'm honestly asking, because it's interesting. Traditionally, the phrase refers to being "sensitive", so e.g. your opinion would be the politically correct opinion, and theirs would be the "not afraid to hurt feelings" opinion. But if you take the phrase more literally, it would refer to the fallacy of judging what is "correct" according solely to the politics of the observer - regardless of what those politics are. In which case, yes, their political correctness is suppressing you (and if you had treated them the same way, your political correctness would have been suppressing them at the same time).