Systemic inequality is generated, by deliberate inflationary policy[0], it is not a "universal constant of the universe".
https://krugman.blogs.nytimes.com/2010/02/13/the-case-for-hi...
"Even in the long run, it’s really, really hard to cut nominal wages. Yet when you have very low inflation, getting relative wages right would require that a significant number of workers take wage cuts. So having a somewhat higher inflation rate would lead to lower unemployment, not just temporarily, but on a sustained basis."
[0] I do, for what it's worth, think that liberal economists aren't acting in bad faith, they're just clueless, mostly because if you're a liberal economist (or almost any economist, really) you've probably never been poor.