I think introducing reputation is required to fix proof of stake.  Yea, I'm well aware reputation increases centralization, but I would argue it's extremely difficult to make something more centralized than Bitcoin already is using that method:

The BTC price is too high for it's current security model

https://bitcointalk.org/index.php?topic=710107.0

I consider current PoW a complete dead end unless you can do something outrageous like enforce p2pool at the protocol level.

If I can make a coin using PoS + reputation that most people would estimate would last years, if not decades or more before the security model really had even a chance to break down, how is that worse than Bitcoin when Bitcoin can collapse at any second?

There's a trade off for everything, but with PoW, we are currently being fed the illusion of decentralization and security, and it's basically a lie.