Punitive Damages are not about what the plaintiff wants. They are about dissuading the defendant from repeating their offence.
So how do you dissuade an an entity such as Getty? You savage their pocket book so badly that the board of directors take notice. For public corporations, you hit them so hard it affects their stock prices and subsequently their shareholders, who then would hopefully respond by replacing board members who allowed the President or CEO to take the offending actions.
In the case of corporations, the buck stops with the shareholders. There is no punishment until the shareholders feel the pain.