https://crsreports.congress.gov/product/pdf/IN/IN12075
https://www.imf.org/en/Blogs/Articles/2022/10/05/wage-price-...
u/jonathankoren‘s sibling comment also touches on this
Today, much of the inflation is cost-push instead of demand-pull like you described. Cars became expensive, not because suddenly everyone had money to go buy a car, or suddenly those peaky autoworkers caught a raise, but because the parts to make the cars didn’t exist because of supply chain problems brought on because of Covid lockdowns.
Eggs are expensive because chickens are dying of avian flu, not because undocumented laborers getting an extra nickel.
Same with oil, grain, pretty much everything.
Major cost of living components like housing have been going up rapidly for tens of millions of people in major metro areas for a decade. Employees wanted more money the whole damn time. They didn't get much willing movement there; they didn't have the leverage in the employment market. Legislatures in many areas stepped in instead after failing to see wages in most industries keep up.
It's not clear to me that this particular version of the feedback loop is inherently bad long-term or unstable. Why should I assume it's going to spiral out of control rather than eventually slowly grind to a new equilibrium as some employers can't keep up with market wages and fall out of the market and supply vs demand stabilizes? And government wages seem like the least relevant - government pay was uncompetitive in so many areas to start with.