“By this PHE definition, no one with COVID in England is allowed to ever recover from their illness. A patient who has tested positive, but successfully treated and discharged from hospital, will still be counted as a COVID death even if they had a heart attack or were run over by a bus three months later.”
One of the things that made me grind my teeth with this thing - talking about the UK here - is even the BBC used the terms below seemingly interchangeably
Died of COVID
Died with COVID
Died from COVID related symptoms
Died following a positive test for COVID (no term specified)
In recent weeks, they seem to have settled on a slightly different version: "Died within 28 days of a positive test"
But that still does not mean the person died of the f**king thingAND - that does not match with the PHE guidance that joswift linked to and that you quote above
No wonder people is confuze!

Edit: Just noticed your post was from March 2020
