Perhaps we could also get rid of ship captains, and allow the ship to steer itself.
To make the actual analogy you wanted, maybe you should discuss fragging:
https://en.wikipedia.org/wiki/Fragging
And what it means when your underlings hate your leadership so much they would rather kill you than follow their "superior's" orders.
High performance sports teams have a captain that is often elected in some form from the team.
Likewise the crew of a pirate ship used to elect their captain.
Both examples serve contrary to your point, and there's no reason you couldn't have something similar in business: a cooperative that elects a CEO, rather than it being done by a board of other CEO's.