> Isn't this kind of the core of Section 230 protection?

No, the opposite: § 230 exists to protect platform’s (and user’s, to the extent they have control of these things) ability to pick and choose when to promote, demote, or outright block third-party content—based on their view of what is worthy or objectionable or somewhere in between—and how to present the content they do present, without being exposed to either publisher liability for what they present or how they present it or any liability for the decisions they make to block content based on their view of what is objectionable.

It exists to enable the polar opposite of neutrality by all parties involved.