Of course I don't have a right to Twitter.
But I do have the right to the public information posted by people who intend it to be public information.
They're not posting 'on X', they're posting to the public and the only reason they do it on X is because there are no alternatives due to the network effect intrinsic for such services.
The 'network effect' part needs to be defined and taken into account by regulators and then regulate the companies such that they make the information available to the public if the poster intends so.