Yes. But it's a problem when different cultures coexist and see each other's good behavior as bad. Societies that kill their "abominations" are also enforcing their social norms. And they may even be right to do so given the environment they live in and their desire to continue existing as a society. Modern western culture has the luxury of being very tolerant of diverse types of people because we're so wealthy and safe, but many societies or their members are closer to the brink and the presence of too many ineffective or counter-productive members is an existential threat.
Yes, sometimes it is in racist or exaggerating context. But, most often, Karen is used to shut up woman who don't want to be doormat or is telling you off for good reason.
The goal is and as when men do the same - make them stop or at least minimize. Or vent frustration, sometimes.
Respectfully communicating feelings about somebody being horrible and hurting people rarely achieves anything. Cause horrible people hurting people don't care about your feelings.
If there are no consequences for "acting like a Karen" what is the social incentive to stop behaving like an angry toddler anytime you don't get your way? Now extend this to even more extreme behavior like people who say you should be killed just for existing because you're an abomination. Is the argument that we should just get along and there shouldn't be any social consequences for that? Such a view would be incredibly naive at best.
On the flip side clearly people's views do sometimes change, people make mistakes, etc. Changing minds and hearts is a process, not a one-time event, so complete shunning for any perceived slight is rather extreme and can be counterproductive.