'Also, why can they not publish tests broken down by hospital, care home and community? They must have that information?'
Because it is not their job to give you the granularity that you require-except if it is, in which case you can request it. You are not actually their boss.
And, it is sad when people die. Yes, inevitable and, sometimes, even a mercy. I get that. However, would you prefer that they said 'today, we happily managed to lose 50 elderly people who are a burden on the economy'?! There is generally formal and respectful language around death in virtually every culture in the world.
You can request that your funeral states 'Livin happily died on this day' but you cannot expect those announcing deaths to assume the relatives of the dead will feel the same way.