@ClarasZoo
Applying your analysis to the rest of the UK, out of 36,000 deaths, with 8,000 in London, 28,000 have occurred elsewhere out of a population of 57 million.
If infections are at 5%, that gives a fatality rate of very close to 1%, almost double London’s number! Even taking account London’s somewhat younger population that’s a big difference.
I’ve no idea what the sample size is though... I’ve heard 1,000, which of true would me quite a margin of error if analysing at a regional level.