The pedantic correction is important in this case: "cancellation" is a private action between citizens, this is "censorship", which is done at the behest of the government. The former can be arguably but reasonably understood as a market finding a balance between two opposing arguments, both of which have a first amendment right (i.e. I don't have to repeat others' words if I don't want to, even if I'm doing it out of self interest).

The government has no such right. Congress shall make no law abridging the freedom of speech.