The bottom line is that the sites should not be held responsible for what the users post any more than the USPS is for the content of letters mailed or ISP’s for what their users do with their pipes. Where 230 runs afoul is in 230 (c)2:
Section 230(c)(2) provides immunity from [civil liabilities for information service providers that remove or restrict content from their services they deem "obscene, lewd, lascivious, filthy, excessively violent, harassing, or otherwise objectionable, whether or not such material is constitutionally protected
It’s the “or otherwise objectionable,” that allows for complete cover to abuse 230. I would remove that generality and leave the rest intact.