Deaths "from" covid19 are not the same as deaths "with" Covid19
The simple fact is covid19 makes pre-existing conditions more dangerous. If Covid19 exacerbates other conditions which then ends in death with covid complications then (for now) it needs recording as a covid death as that's what's being treated (or not as in the care homes)
It may well be the person would only have had 2 more extra months of life without covid, but they could just as easily have had 2 more years. We can not say for certain
As I said they need to accurately record every covid related death right now in case they need to deal with this seasonally. If it is just a one off then in time they can look at how the deaths are categorized more forensically. What they can't do is half ass it. Just look at the problems half assing has caused right now.