I am always skeptical of cause of deaths, after seeing how a few family members were classified. I have an 'in-law' that was an alcoholic, chain smoker, on pure oxygen for the last 2 years of her life. Lungs gone. Cause of death? Heart failure.
However, in this case, morbidity can be reasonably estimated/checked against prior year data for the same period of time. NJ jumped by more than 10,000 in April, which is consistent with covid data.
https://nj.gov/health/chs/documents/2015-2020%20Deaths%20by%20Month%20and%20County%20of%20R esidence.pdf
I have not seen data on "years of life lost" by covid, like often published for alcohol, obesity, and alcohol. I would find that data interesting.