Yeah, first realised this when it became clear that all the "breakthrough infections" (with the 0.1% rate for fully vaxed) were actually "breakthrough hospitalizations" and that the US was not actually tracking the former consistently.
For the second point I guess it depends on the jurisdiction, there was a nice chart from the CDC in an Ars article indicating how you should still expect a relatively higher rate of vaccinated people in hospital when the vaccination rate is high (and also less people in hospital overall!).