You have to strike a balance. If there's no personal ambition then there's no wealth to redistribute. If there's no fairness then one person takes everything and the whole thing stops. To that end, why shouldn't people fully invest themselves in their role? Expecting CEOs to manage social fairness would be a massive conflict of interest - so we should probably expect other people to keep tabs on that.

CEO's already manage social fairness. Just look at lobbying efforts.