I would perhaps encourage a different view from the typical conservative/liberal dichotomy. “Political Correctness” is the effort of some to use the terminology that various groups prefer when being the topic of discussion. It is always going to be fraught with disagreement, exception, and change. At one point the correct term was “Native American”, although many now prefer “American Indian”; at one point “transvestite” was acceptable, though now the term is “transgender”; “Negro” to “Black” to “African American” and (for some) back again to “Black”; “oriental” to “Asian American” to actually using individual’s ethnicity of origin, etc. Political correctness is all about respecting the dignity of the group or of the individual when speaking to or about them. To that extent, respecting human dignity through “policial correctness” is a shared value between conservatives and liberals.