Well, CEOs with large ownership positions do get moved out if they are voted out by the shareholders or the board.
“As of October 2019, Twitter was headquartered in San Francisco, California. It has over 320 million subscribers and about 3,900 employees. Omid Kordestani, served as the executive chairman while Jack Dorsey was the chief executive officer. It continues to trade as a public company where interested shareholders can buy or sell shares at will.”
Papa John’s John Schnatter was pushed aside for questionable remarks; recently I heard him still talking company direction and whatnot. I mean, as long as you maintain a sizeable ownership position - it is personal property; so far they can’t take that away from you.