Such a person would be included as a COVID-19 death in the statistics because those data sets all assume correlation = causation, actually you don't even need t

Such a person would be included as a COVID-19 death in the statistics because those data sets all assume correlation = causation, actually you don't even need to test positive at the time of death. Any positive within 28 days of the death is sufficient. But the death certificate might record the cause differently, depending on arbitrary factors like how hard working the relevant staff are feeling that day.