I wouldn't even necessarily agree with a private platform nuking the account.

For the record, I'm not a fan of the argument: "They're a private company, they can censor who they want." The companies are already deeply entangled with the government, and the more essential they are to necessary tasks like banking and communication, the more entangled they become. Most will essentially do whatever the government tells them, so allowing them to censor is just allowing the government to censor.

Moreover, we should want all our institutions to support the sound principles of liberty regardless of whether or not they're private or publicly run institutions.

Instead of censoring, the better approach would be to empower users with tools to filter out the content they don't like.