Cancel Culture and Canceling versus consequences for actions

An interesting example of cancel culture:

This guy posts a simple photo on Xitter. Now everyone is trying to cancel him: talking gleefully about committing violence against him because of his speech, trying to make sure he never gets his dream job, even trying to get him kicked out of his professional networking group. Based on the mob’s attacks on him, he’s taken down the Xeet.

Now, I left out some details, but the details are all about the content of his speech. Does that even matter? Or do the anti-cancel-culture folks think that it’s censorship to keep someone from gaining power, based on their speech?