But I like your 'have the cake and eat it too' thinking! ...
I wonder if companies on the margins could be given either the option of Section 230 protections, but then also have an obligation to curate for some things, and to have some kind of 'consistently objective rules' ... or ... take the more 'neutral' approach and wash their hands of everything and be obligated to provide services for 'pretty much anything legal' ... which in this case would be interesting because GoDaddy is looking mostly to avoid populist outrage. If they are legally bound to allow the 'legal site' ... well ... there's little they can do ant the outrage would have be oriented towards the legislators.
My feeling is that both our current Net Neutrality and Section 230 just don't provide very well in the middle ground cases.