Section 230 does not work like you think it does. In fact it is almost opposite of what you probably think it does. The whole point was to allow them to have it both ways.
It makes sites not count as the publisher or speaker of third party content posted to their site, even if they remove or moderate that third party content.
It makes sites not count as the publisher or speaker of third party content posted to their site, even if they remove or moderate that third party content.