Where inflation gets people is typically with wages since wages rise slowly. People with large savings are not sitting on cash. They are invested in things that typically rise right along with inflation.
Wages have kept pace with inflation according to BLS data. Thing about wages though is that they're a social issue and a fiscal policy issue, not a monetary policy issue. Had there been no inflation, wages would have stayed flat in both notional and real dollar terms. The units don't matter, the quantities do. Pointing at monetary policy because the units shifted is not actually addressing the root of the problem.