I'd have to disagree with your point about CEO's having rare skills. CEOs appear to not be rated against anything. you have giant failures like Yahoo under Mayer or the executives at Toys R Us giving themselves bonuses as they are going through bankruptcy. Instead of not getting compensated for their failure they are getting amounts of money that most Americans could retire in.

When the business does well people say it's due to the CEO, but when they fail people argue about how bad it might have been. There's no way to know. It seems more like a scam vs investors or employees than some measurements skill that actually merits compensation