Assuming even in care homes that over 90% recover from COVID,
we could multiply the number of care home deaths by 10 to get a v rough number of those infected - who had symptoms
There appears to be approx. 20,000 excess care home deaths in England, though the fact of many care home residents dying in hospital with covid-19 or other causes makes it difficult from the inadequately granular ONS data to make sense of how many have died in care homes who would normally die in hospital
According to the 2011 census, there were 140,500 private nursing home residents, 205,500 private non-nursing care home residents, and 15,500 local authority care home residents.
One would assume the former has the highest death rate.
This is 311,000 or so. 20,000 deaths would be consistent with an R of 3, and death rate of 10%, but it's likely that R is higher in care homes, so it's to be presumed some care homes have escaped covid-19 so far.
One could say that the problem is that by January, 35-40% of the residents will be new and thousands more likely to die, but it's not clear that it is a problem as such, as we've noted similar death trends happen in many winters due to flu.
I find this article not to ring true
www.theguardian.com/commentisfree/2020/may/08/care-home-residents-harvested-left-to-die-uk-government-herd-immunity
for this reason. The virus seems to be extremely effective at circulating in care homes, and it doesn't seem obvious that PPE per se would have stopped it.