One good example of political correctness is the case of James Damore. He was compliant with Google rules for employee communication but he was fired anyway. Not censored, not reprimanded, not talked to, not corrected, but fired, because some people didn't like the facts he wrote of.
A large part of political correctness is independent of political views, it is when facts are censored because they create cognitive dissonance. It leads to people living in a false reality, a "bubble" where they believe what they want to believe not what is true. And this is dangerous for any society.
In some cases this censorship harms the people it is seemingly intended to protect. For example, there is a real problem in the US where minority students who have lower qualifications but are accepted at top universities through affirmative action often fail to graduate. In this case political correctness is harming the very people it is trying to help. It is cynically hypocritical. It helps the universities look good while harming the students. It is a hoax victimizing the "oppressed" for ulterior motives - a not uncommon facet of political correctness.
Maybe some women are harmed when they are denied information about the statistical differences in abilities between men and women. In some areas, fewer women than men are among the most talented. What if a woman is encouraged to enter a profession where she has a lower chance of success? I'm not saying she shouldn't be allowed to do it, but that she should have the facts (only the truth) so she can assess her own talents and potential based on facts not fantasy.
You could say Google's rules for employee communications were a hoax, intended for the ulterior motive of making Google look good, until they didn't make google look good, at which time the hoax, their hypocrisy, was revealed and supplanted by another hoax (ie. that there are no gender differences).