I think what you are describing with inflation is very real and happening at scale globally.
If you are wealthy, you can put fiat currency in hard assets and 'increase' your wealth in terms of fiat currencies because they are getting debased globally.
People who live paycheck to paycheck literally don't have the opportunity to invest in hard assets and they often get left behind.
I am not sure how we turn this off with fiat currency debasement. It is not an easy problem to solve imo.