[wyldfire]

I think the court would have to thread the needle on whether:

(1) the function of the site is like a private club whose secrets are vital to its continued existence,

(1a) the language in the ToS supports (1)

(2) the private news items shared there are in the public interest and likely not reported on otherwise (at least the ones that were disclosed publicly).

No one likes chilled speech but there's plenty of examples of legitimate agreements for non-disclosure. Those agreements provide mutual benefit and could be threatened by a ruling in favor of a claimant against NextDoor.

[kobeya]

Their not claiming non disclosure. Just the right to kick you off their service (out of their club) if they don’t like what you do. “We reserve the right to refuse service to anyone.” That is, in fact, a legally protected right in the United States. A constitutional right by some arguments.

See, for example, the Boy Scouts vs a long list of gays, atheists, and girls, where this was affirmed numerous times by the Supreme Court.