There's a difference between walking away & taping someone's mouth at the table. Walking away is freedom of association. Taping someone's mouth is censorship & a forced imposition or outright violence against a person.
Parent is trying to draw a parallel between mouth taping and censorship. The problem is that lunchroom scenarios aren't cleanly isomorphic to online scenarios.
Okay. Let's say you like to share details of your bathroom escapades on a forum dedicated to 3d printing. The admins give you a few warnings and eventually kick you off, because nobody wants to hear that. I daresay that isn't "violence." It's still an exercise of free association where the forum moderators have decided your speech is "not good" despite being perfectly legal.
Sure, call it censorship. I maintain that it's legally permissible to ban shit-posters for misconduct. I'd further argue that failing to ban shit-posters will dissuade 3d printing enthusiasts from using a particular forum, granting the shit-posters a heckler's veto which is its own form of censorship.