First of all they aren't talking about solving the problem of inequality once and for all, because that can't be done. They're focusing on reducing it and some of the solutions are quite good IMO. Like this one:
Pool of Stake solves the inequality issues of PoS by creating the first decentralized pool for PoS blockchains. The product lets token holders participate together in transaction verification by pooling their funds to stake together so they can share the rewards later. This lowers the entry barriers for staking. It also creates an equal environment in which all token holders can participate to secure blockchains and generate a passive daily income, regardless of their initial wealth!
This would actually allow the holders of BTC participate in mining and earn passive income. Inequality would still remain because there would have to be the minimum that you have to hold to be able to get anything. This means that if you wouldn't be able to afford 5BTC (for instance), you wouldn't get anything.