Well, my uncle had a heart attack during the covid pandemic but couldn't get a bed in the ICU as it was full of covid patients. Was he a covid death? I'd say yes (he lived in an region of low vaccination).
Hospital saturation is lightly correlated with vaccination rates. In fact, it’s probably reverse correlated. Rural areas which have a high degree of social isolation due to low population density didn’t run out if capacity to the same extent hospitals in large urban areas did. I’m very, very sorry for your loss, but maybe you are holding on to anger that is misplaced. Population density (lack of social isolation) was what drive hospital saturation. I was in a very low vaccination rate area, and we never get to even quarter capacity in the local hospitals.