I don't think it's run like a public utility. Twitter takes stances that might seem 'centrist' in politically blue areas, but seem biased in red areas.

Personally, I think Musk would run it more fairly.

Yes it doesn't fall for the false centre ground.

Twitter is very clearly not a public utility by any means

Yes, you can read a dictionary. That being said, many people consider Twitter to be a public square. so, de jure vs de facto.