You are living in some pleasant fantasy!
Back in reality, the UK wants to infect about a cool 40M people (for the herd immunity!). Last I heard they expect 50% (20M) to get it in a 3 week interval. Meanwhile they have about 4k ICU beds, which are at close to capacity already. Assuming cocooning works so great that only 3% of people need urgent care (rather than a more likely 5-10%) and only for one week on average (again, unlikely!), that's 200k people for 4k beds for a period of 3 weeks. Surely the fatality rate for those 3% is going to be way over 60%. At which point you have close to half a million dead in those 3 weeks alone.
I'd like to see numbers for a realistic scenario where this strategy does not result in something in the millions of deaths.