There's nothing only about owning 20% of a public company.
20% and the largest shareholder, is more than enough to turn any public company inside out. Hedge funds do it all the time with dramatically weaker positions of single digit ownership. Carl Icahn routinely does it with a few percent. It's an immense position in the public markets in terms of wielding power.
There are specific jobs that board members and officers have. Just having 'the most shares' often isn't enough to do everything you want.
Moreover, he only owns 20% of the company.
Being 'busted down' is a huge political blow, he would be seen as weak, it would be hard for him to do his job.
He could resign as Chairman and save face, and then say 'Ima do Engineering full time' or something but it'd be hard for him to go as CEO.