I never did that. You projected that, and just now, lied about it.
No, it can be understood from how you use the terms. You are adding "Chinese" as a bit of negative spice to your false claim that I am lying or spreading false propaganda. When challenged on this, you attempted to (incorrectly, this is not how language works) redefine "Chinese" to mean "CCP" and, per the typical crypto-sinophobic incantation, not the Chinese people. You then continued to interchangeably use Chinese and CCP as negative epithets.
Your attempt at redefinition actually just dug a new hole. You could just say, "oh wow I don't mean to suggest that, I will stop" instead of doubling down on treating Chinese like an insult.
Pretty much, yes. The US system is fairly ridiculous so a lot is left up to judges and common law - e.g. whether rights can be stripped due to being convicted or a crime or oer a judge's order. But freedom of speech and assembly in college campuses, especially by students, fits squarely in what is normally protected. Hell, outside right wing groups regularly try to hold rallies in a camlus near me. Cops never go after them, let alone judges.