Are you assuming only those who create some kind of social wealth should be compensated for it, or that there should at least be a positive correlation? Maybe I'm reading that from your post and it's unintended.
What data is used to say traders don't beat indexes? I have to see any real data that represents traders as a whole (who are themselves a hugely various group), only various studies concerning the US equity markets, which is only a small piece of puzzle. In the case of other markets, which indexes are they unable to beat and which studies are you referencing?
By and large, most traders fail because of inadequate capital, risk management, disciple, and overly adequate ego. That's not from a study. It's from my own personal experience, admittedly.