I would suggest that a new coin should be created alongside, and that the developers then are rewarded with the original bounty(bitcoin or Kore) + the new coin.
Why? This is how you properly create a new economy and distribute it. POW is not really any work, it's just wasted electricity(well, not entirely but you get my point) - and POS is simply not distribution at all.
Rewarding people for creating something means that the money(coins) derive their value from actual WORK, each and every coin then becomes a true reward for the creation of something that will actually benefit our society.
I absolutely love the idea, but it would be awesome to simultaneously create and distribute a new coin - and it would teach the world how economics should work - in contrast to how it works today, where money is created as debt.