Now lets look at the number of cases in the UK on March 7. There were 79. In Italy there were 5,833. Italy has experienced almost a ten times increase in cases. Using your projections, the UK should have 790 cases vice the 5,071. The mortality rates are far different.
I don't subscribe to your premise. Italy and the UK are different countries in so many ways. The UK's health system is far superior. Its population more disciplined, organized, and younger. When the dust settles, the data will prove that the UK is on a far different track than Italy. Probably similar to Germany's.