I don't think that's a fair characterization. If a user requests a company to stop using their data, ML unlearning allows the company to do so without retraining their models from scratch.

Is it censorship to not include every piece of text you can possibly find into your training dataset?

What's the difference between making that choice versus removing it from the model later?

If company X wants their model to say/not say Y based on ideology, they aren't stopping anyone saying anything. They are stopping their own model saying something. The fact that I don't go around screaming nasty things about some group doesn't make me against free speech.

It's censorship to try to stop people producing models as they see fit.

The prolefeed explains that deep duckspeaking is doubleplusgood. Nothing to see here, citizen.