Two points I'd hit on:
1) Deflation causes debt to become more expensive. Inflation causes your money to become worth less. There's a simple solution to debt becoming more expensive, but no practical solution to you getting a pay-cut every year, especially when a sizable chunk of people don't even realize they're getting a pay-cut and don't want to be unthankful for a "raise." That issue alone already causally explains much of the rise in inequality. Cut people's wages in a stable or deflationary system and there will be hell to pay. Cut them in an inflationary system and they say thank you.
2) Changes in the past are exaggerated. The Fed did a study some time back estimating CPI levels since 1800. [1] They found that from 1800 to 1950 the CPI never shifted more than 25 points from the starting base of 51, so it always stayed within +/- ~50% of that baseline. That's through the Civil War, both World Wars, Spanish Flu, and much more.
It's even more interesting to contrast this from 1971 onward. 1971 is when Bretton Woods ended and the government was given a free hand to start 'printing money' so to speak, and inflation became the new policy. Since then the CPI has increased by more than 800 points, 1600% more than our baseline. So if the 'Gilded Age' saw deflation of ~30% over some decades, what will historians in the future call an era of thousands of percents of inflation over some decades?
[1] - https://www.minneapolisfed.org/about-us/monetary-policy/infl...