30% of all dollars that exist in the world were created since 2020. So it's hard to see how current price inflation doesn't have a significant tie-in to monetary policy. Is it possible to print $6T dollars in less than three years, and not cause 8%+ price inflation?
Of course getting the toothpaste back in the tube isn't as easy as getting it out. So there's not a linear, direct, timely relationship with raising fed rates and lowering price inflation.