How does PoW waste resources? I actually believe it will increase resources! You see energy is abundant (probably practically limitless), yet finding it requires innovation. How do you spur innovation? You increase demand!
While this does make some sense theoretically, I think that the increase in demand for energy even by the entire bitcoin economy is insignificant compared to the increased demand for energy in general and therefore will contribute very little in-and-of-itself to spurring on innovation in that sector. The main way that I feel PoW wastes resources is in terms of individuals - the electricity, hardware, floor space, time etc. they have invested in bitcoin could be being used more innovatively with the same return were they using PoS instead of PoW.
See
upthread in my first post why I expect CPU-only PoW to be dominated by hobbiests running their PC at night while they sleep. The serious miners will likely have to go microhydropower. It is not the level of demand, yet that all the serious demand goes to some new technology that once the locals see it applied, can spread like wildfire and be applied to powering local communities.
I want to send westerners out into the hinterlands. Ready to live in Machu Picchu?
P.S. This benefit can't come from Bitcoin as mining will be dominated by corporations behemoths, due to the ever expanding blockchain and the ASICs economy-of-scale.