In other words make rich people richer and poor people poorer?
Rich people get richer regardless.
Actually in the Bitcoin world, this is not true anymore.
It is very hard to actually to increase your Bitcoin holdings using just Bitcoin.
There is no in-built mechanism to increase your wealth with interest as it works in the fiat world.
Rather, Bitcoin, once fully matured, will have entropy in the sense that holders of Bitcoin can only either just hold or will slowly lose Bitcoins over the course of time.