This only follows if you believe you're under an obligation to use social media.
>It's really never before happened in history where a private company has become the mediator and facilitator of discourse involving millions of people simultaneously.
This depends on what you mean. On the one hand, up until ~30 years ago, discourse involving millions of people was impossible. So in one way you're correct. On the other hand, media companies of all kinds have historically had a huge level of control over what people see. When the only form of communication was the town crier, he controlled what you heard. When we added printed paper, the people with the press had outsized control over the media. And the barriers to entry were much higher then: I can spin up my own website in an hour. Your average person couldn't afford a printing press.
>This almost infinitely scalable many-to-many communication property of modern social media makes it feel much more like a public space than newspapers, TV, and radio ever did.
What public space offers infinitely scalable many-to-many communication? Public space is distance limited, these platforms aren't. Just because these platforms chose not to heavily regulate the content doesn't preclude their ability to ever do so in the future, nor does it make a comparison to a theoretical public space that never existed any more valid.