But why should they have done that instead of what they did which was far simpler and had the effect of communicating their point of view effectively.
The CEO can't fire the board. The board can fire the CEO.
The majority of shareholders can fire the board.
The fact that one person plays the role of two of those actors is interesting but one of the whole points of corporate governance is that everybody plays their actual role when they're in that role and assigned to do that role.
In that context the board tasked with making a decision on who should be CEO made a defensible decision and then they were fired by the shareholders who disagreed. This is exactly what's supposed to happen. Everything is by the book.