The problem of PoS is issuance. How do we really know that a PoS coin's distribution is "fair"?
I agree with you, my PoS proposal doesn't reward the stakers. The stakers are only useful to limit the amount of consensus proposals and to make sure that it is not always the same one that proposes the consensus (unless there's only one staker on the network). PoW is a very good coin ISSUANCE method, because it burns seigniorage.
I think that one should separate the consensus mechanism, and the coin creation mechanism.