Oh the drama. When asked leave an aircraft you get up like an adult and walk off the plane. The only time you should act like a child, like Doc Dao, is if you are being deplaned at 30,000 feet. Then I could see acting like that.
A plane is a public accommodation. Privately owned, pay to fly, but nonetheless a public accommodation. Like a skating rink or a stadium.
There are limits on what the operator can do.