This is precisely what was said by policymakers in the early 1970s who were saying pretty much the same thing back then: we can't act on inflation because it will hurt the labor market.
This of course resulted in inflation becoming more and more firmly entrenched until their WAS a wage-price spiral that was very hard to break. It then look the new Federal Reserve chairman more than a decade of trying to get it under control, and ultimately, it was only done through sky-high interest rates that caused 2 bad recessions. Most of that pain could have been avoided had they just acted more decisively in the early 70s.
And now here we are again decades later with the worst inflation in 40 years and some people saying we should just 'let it ride and see what happens'! Well we already know what happens if history is any indication.