Totally. If I ask the "correct" way to refer to a minority, I'll get a casual answer. If I ask for the "politically correct" term, everyone will know that I mean something annoying, self-censoring, fake and constructed for ideological reasons. Politically correct is almost an antonym of correct, similar to the term malicious compliance.

If this study had asked, "Is calling people Native American a problem in our society", somehow I doubt anyone would have said yes.