Proof of Stake algorithms so far amount to various rationalizations on giving the wealthiest users more wealth.

To explain further, PoS blockrewards are settled as lotteries to stakeholders with each staked coin being granted a lottery ticket. Due to the all or nothing nature of newly printed coins from blockrewards, the wealthiest users will not just accumulate more newly printed coins on average but the statistical odds of them accumulating more of the future supply increases with time whereas poor users are entirely disqualified from thresholds required for "staking" and earning newly minted coins.

I'm really impressed by RAIBlocks, and trying to decide what to think about it. There are no fees or printing.

RAIblocks isn't a protocol, it's someone running a centeralized database that publishes the results to everyone else. Dubious.