I don't see how. Their actions are explicitly what are protected:
> 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
Essentially nothing, which is why a few of the proposed bills to punish tech companies for removing content have tried to turn that into a clause with teeth.
It's important to remember that it's the first amendment that protects Twitter ability to filter anything it wants on its own platform, but it's the "material that the provider or user considers...otherwise objectionable" part of Section 230 that maintains the liability shield for other content that remains on their platform. That covers removal of essentially any content.