Depending on what you mean by a covid-19 death, I don't think that will give you an accurate answer. In Europe where hospitals and ICUs have been swamped, death rates from non-covid-19 causes have increased to about match the covid-19 death rate. I assume that's because the hospitals and ICUs are full of covid-19 cases, so accident and other disease victims are unable to get optimal treatment.
Is a car crash victim who dies because he can't get an operation because the ICU is full of covid-19 patients also a covid-19 victim? He is, in he sense that he wouldn't have died if there was no covid-19 outbreak, but he isn't in the sense that he never had the disease himself.
I agree - but I still think that excess deaths over seasonal average is a better indicator of the impact of a lethal pandemic when it's at the scale it is in badly affected countries, and "official" counts aren't to be trusted because of political interference etc. In the third world, there's going to be very little to go off at all. We're only going to see approximations, various "experts" with political affiliation will data dredge to score points.
Here's a graphic representation from towns in Lombardy:
This means that with a subset of 56.48% of the population, the figures show 5067 excess deaths (i.e. 891.8 deaths per 1M pop) which are greater than 3072 (305.4 deaths per 1M pop), the official COVID-19 deaths toll across the whole of Lombardy
The revision of numbers from NY is consistent with what's reported above from Lombardy. I see that some websites that tally cases/deaths by country and region have not included the additional NYC deaths in their running tallies. According to some reports, NYC hasn't run out of ICU beds. The number of patients with eg cardiac symptoms who don't call for an ambulance and die at home when they might have been able to be saved is unknown and probably unknowable.