The medical examiner thing seems totally fine—in this county they only see bodies that are sent for autopsies; i.e. something is fishy about their death. If you die in an ICU because of low oxygenation you don’t get sent to the medical examiner. If you die from a knife to the back and your family wants to argue that you died from COVID-19 then it makes sense for the medical examiner to want them to pay for it.
My mom, a Suffolk county based doctor who used to do autopsies
I think that is necessarily true, yes. A reasonable thing to do would be to report multiple numbers; “confirmed cases”, “suspected cases”, “estimated total cases”, each with a clear definition.