Say demand quiets but the price of inelastic goods (gas and food) continues to skyrocket due to greater demand from developing nations who demand more resources to have a better standard of living. How will hiking to 10% fix anything?
Sure you'll kill demand, but you'll also kill financing supply which will only exacerbates the issue over the long run. We need more drilling, more refining, more farming now that Russia is out of the picture and the Saudis are playing games.
Hiking too far is actually a horrible policy choice, and Powell can make a cogent argument about it: he already has mentioned this in hearings. You can't address supply related constraints with higher rates. At some point, they might justify capping rates to finance the needed supply, and that argument smells like the yield curve control of the 1940s. I suspect this argument will become more palatable if we have high unemployment and high inflation. [0]
I have a feeling whatever policy rate they pick will aim to be slightly sub neutral (negative real rates) as they pray inflation resolves itself, while constantly pointing out they have no control over whether Brazil has a successful wheat harvest.
[0]: https://libertystreeteconomics.newyorkfed.org/2020/04/how-th...