Democracy is a blunt instrument, for disputes you can't resolve by talking. And the smaller the voting pool the more you can try to reach accomodations rather than the majority imposing on the minority.

The two thirds can undoubtedly do this. But the whole structure is in a bad way if they actually do.

It's more like two of your coworkers deciding to fire you without hearing you out.

The CEO works for the board. He's not an equal.

Two of my managers can absolutely get rid of me without ever hearing me out.

The CEO is part of the board, just like every other board member.

Become an owner? Then you can fire the board.

Sole proprietors have no board at all. Although they have to deal with customers...