Dr Birx has just confirmed anyone dying with the virus in the US is being added to the total fatality count.
One thing that needs to be considered with all these statistics is how representative they are of reality.
This graphic came out a few days ago and is relevant. As you can see, the actual extent of COVID-19 related deaths in regions that have had their hospitals overwhelmed will likely be far higher than official figures.
Some of those excess deaths are not going to be specifically due to COVID-19 but other issues which would ordinarily be treated in a hospital but aren't being attended to at the moment.
Most will be COVID-19 though but because they didn't have a test and get admitted to hospital, they aren't an official case/death at this time.
On the other end of the spectrum some of the far right pundits in the US in particular are trying to argue that the number of deaths is being overstated because the official cause of death should be something else like pneumonia or heart failure etc. but they are all being counted as COVID-19 deaths. This line of argument is clearly misleading because it's the same as saying that zero people have died as a result of AIDS because that isn't the cause of death.