I don't think I saw this posted, unless I missed it. The FT did an analysis projecting what the US's hospitalisation rate would have looked like, had vaccination kept up with the levels seen in other countries, like Denmark:
As usual, worth clicking through to the thread. There's also a graph of comparative case fatality rates:
It's still good relative to what it was without vaccination, but it's clear that lower vaccine uptake, at what might not seem that significant a difference if you're just eyeballing the figures, has a pretty significant impact in practice.