I'd say the above covers it; if COVID-19 is the driving cause of something underlying killing them, that wouldn't otherwise have killed them, or was being capably managed, then surely it's a death attributable to the virus still.
If you're an asthmatic you've technically got a co-morbidity for this disease, yet asthma is easily managed for the vast majority of cases and wouldn't cause death.
There are twice as many people in Australia that have asthma and cancer compared to Italy, and that's not per capita. We also have 50% less ICU beds per capita.