One's position on "cancel culture" tends to reveal a lot about somebody's politics. Complaining about cancel culture tends to correlate highly with conservative political views. The idea is that some people can't freely express their opinions. This is the same idea that leads the likes of Elon Musk to complain about the lack of "free speech".
When right-wingers say "free speech" they mean "hate speech", more specifically "the freedom to express hate speech". And when they complain about "cancel culture", what they're really complaining about it there being consequences to their speech [1].
So if somebody goes on a racist screed and they lost their job because their employer doesn't want to be associated with such views, that gets labelled as "cancel culture".
The very same people defend cancelling the permanent resident status of somebody who simply protested war crimes committed by Israel (ie Mahmoud Khalil) with no due process, a clear First Amendment violation.
As a reminder, the First Amendment is a restriction on government activity. For some reason, the same people who were vaccine experts 2 years ago who are now constitutional experts don't seem to understand this.
[1]: https://www.thenation.com/article/society/republicans-cancel...