Interesting. I like it. The only problem I can foresee is that as the network grows in number of nodes the probability of hitting a block decreases which in turn disincentivizes  someone to begin a new node and mine. Now PoS will definitely help to solve this problem for now. But think as the network grows by 100 times more people wanting to mine - it may be beneficial then to have some sort of in wallet pooling mechanism that can identify botnets based on blockchain analysis, and more importantly, allow people to see coins in their wallet more often. A pool doesn't give you more coins, it only gives them to you in smaller magnitudes at smaller time intervals than solo mining.