> It was the sidewalks of random streets. The company that owned them explicitly did not intend for them to be a public square.
Sidewalks of random streets are considered to be "the public square" in US law (broadly because random streets are usually publicly owned. You need things like gates and signs and such to revoke such an assumption). The Marsh v. Alabama ruling relied on the fact that the town didn't try to make its streets un-square like, and in fact encouraged public square-like use!
Notable here is https://en.wikipedia.org/wiki/Lloyd_Corp._v._Tanner, which in the case of a private entity that isn't literally acting like a municipality, they can kick you out!
> In contrast, the historical statements of Twitter make it very clear that they intended to be the public square, e.g. "free speech wing of the free speech party."
You will be hard pressed to take a single statement, made by a minor executive who acts outside of US jurisdiction, in 2012, as superior to the actual user agreements that Twitter has (and had at the time) in the US.