I think they are doing a decent job of getting a death rate (compared to some other countries, e.g. the UK). But the implied case rate from the death rate implies that they are nowhere near herd immunity, which is awkward for them - if you've got 400K people infected (1:200?) you're still nowhere near herd immunity, yet you've killed tons of your citizens.
UK publishes weekly statistics of total deaths, including those mentioning covid on the death certificate and the number of excess deaths above the 5 year average for that week. The figures are a few weeks behind though.
This gives a number of covid deaths at 40-80k, and thus an infection of 3-15 million depending on the actual fatality rate.
That means letting it run free, assuming immunity once you have it, and a 65% herd immunity level, would mean at least another 100k deaths and possibly as high as 1 million. Most likely 250k more. There is no appetite in the UK currently for that.
Getting the death rate is tricky, what you need to look at is the increase in mortality over the 5 year average.