To me, the question is whether the web is a something people use through a middleman, i.e., someone else's website like Mark Zuckerberg's, versus a thing that we use directly, i.e., having our own websites. If we follow the later thinking, then of course we are personally responsible for what content we place on the website.
In either case, the web in its design is still a "public place" where "free speech" can occur, where anyone who is connected to the internet has the potential (setting aside issues of state censorship) to communicate, via a public website, anything to anyone, anywhere in the world.
Section 230 was reputed to be passed in response to a lawsuit against Prodigy, an online subscription service, which technically, IMO, was not the same as the emerging "web". IMO, services like Prodigy, Compuserve, America Online, etc. were walled gardens that could exist outside of the web. Rightly or wrongly, I always viewed Section 230 as protecting ISP's from litigation arising out of the content people included on their websites, not as protecting websites from litigation arising out of the publication of the content. It is up to the website owner to remove offending content, not the ISP to block access to it. This makes practical sense. We wanted ISPs to stay in businesss.
As crazy as it may seem to consider messing with Section 230, there is certainly an argument that the protection it affords has been usurped in ways never anticipated, by enormous "communal" websites larger than anyone could have imagined. When someone's website has billions of pages, comprising submissions from the general public, it becomes impractical to remove offending content. I doubt Section 230 was intended to address this problem, to keep a small number of individual websites in business and ensure the creation of a small number of advertising services billionaires.