There is no distinction between platform and publisher in §230. Your understanding of what you think it says is in fact closer to the state of affairs before §2

There is no distinction between platform and publisher in §230. Your understanding of what you think it says is in fact closer to the state of affairs before §230, and the state of affairs that §230 was expressly designed to change. Before §230, there were two court cases involving online content which, upon reconciling their rulings, suggest that any online site is liable for content if and only if they perform any moderation whatsoever (including, say, removing child porn). As a result of §230, online sites both have protection from being treated as the speaker of content even if they do moderate (or censor, as you word it) as well as from being sued by the users for the consequences of their moderation.