There’s an idea out there that Section 230 only applies to platforms that provide equal access to everyone. That’s not true. In fact, it explicitly allows “interactive computer service” providers to filter any material they deem to be objectionable in section (c)(2):
> (c) Protection for “Good Samaritan” blocking and screening of offensive material
> (1) [omitted for brevity]
> (2) Civil liability No provider or user of an interactive computer service shall be held liable on account of—
> (A) any action voluntarily taken in good faith to restrict access to or availability of material that the provider or user considers to be obscene, lewd, lascivious, filthy, excessively violent, harassing, or otherwise objectionable, whether or not such material is constitutionally protected;
Twitter is 100% allowed to filter Giuliani’s (and any other whack job’s) nonsense/misinformation if they consider it to be objectionable. Doing so does not make them ineligible for the protections described in Section 230. _It is_ one of the protections described in Section 230.