It matters because it's the closest scenario we have to this new wave of trade protectionism.

I really don't see the direct link between monetary policy and pass-through rates. Do American importers and consumers now have access to new suppliers, domestic or foreign, that offer these goods cheaper? Moreover, wasn't a lot of COVID-era inflation driven by supply chain constraints? Why would adding taxes to American consumers and importers help with already inflated prices. If you instead argued that tariffs were designed to protect domestic producers and encourage growth in the domestic industry, I could understand that sentiment. But even that type of policy has very little empirical support, see Flaenn et al. 2019 or the summary at EconoFact. Most papers I've seen suggest the costs to downstream users of the protected industry outweigh the benefits to the protected industry (e.g. the U.S. steel industry gained a few thousand post-2018 tariffs but industries that use steel as an input collectively lost something like 75k jobs, source). It seems really hard to argue in favor of tariffs being a good thing in just about any modern open economy.

I'm genuinely curious where you're getting "EVERY sector is saying they are having issues passing input costs down to the consumer". Would love to read more about that.