There's no such thing as "the internet's public square". It is the "X-owned public square". In an offline public square, the government owns the square, so free speech protections apply. But this "square" is privately owned. There's an incredibly fundamental difference here.

That's not how it works, what you are talking about is often called freeze peach.

Until Twitter can fine you or lock you up for saying the wrong thing or exercise prior restraint over all your expression, it's not a free speech issue.