Usually your employer has confidentiality and non-disparage clauses in your employment contract and separation agreements. So "This Tweet violated the Twitter Rules." probably would be more like "This Tweet violated your contractual agreement to your employer".
This is exactly right and it's ridiculous people don't see this. Free speech isn't equal to breaking confidentiality agreements on a platform owned and operated by the company you work for.
Free speech and breaking confidentiality agreements are orthogonal to one another. The latter might result in legal action or firing but it has nothing to do with the right to publish.
But so does this mean on Twitter, leaks and whistleblowing about Twitter will be censored but leaks and whistleblowing about any other company will not? Because that sure doesn't sound like the neutral "free speech" moderation style Elon has been talking about so loudly nonstop for the past months.