The problem is that everyone is hyper sensitive to specific things, even where they claim to oppose political correctness. For instance, most "devoted conservatives" dislike political correctness, but made a big issue out of Obama's passing remarks about "you didn't build that" and "cling to guns and religion". They took great exception to Clinton's comments about "basket of deplorables", but didn't have a problem with Trump's "rapists and drug dealers".
Ie, when the other side says something that offends you, it deserves to be made into a big issue. When the other side is offended by something you say, political correctness has gone too far.