Certainly it makes sense when talking about hospital capacity - but it does give a bit of a skewed impression when you're looking at the hospitalizations re: cases.

You'd be surprised. Around 1/7th of the covid hospitalizations in Denmark[0] are hospitalized for "other reasons" - where covid is not the primary factor - I'd say that is significant.

[0] - https://www.dr.dk/nyheder/indland/braekket-ben-fylder-i-cent... (link only in danish, sorry)