I don't see the same delay comparing the UK cases and deaths data -- 7 day moving averages peak around April 15 for both: https://www.worldometers.info/coronav

I don't see the same delay comparing the UK cases and deaths data -- 7 day moving averages peak around April 15 for both: https://www.worldometers.info/coronavirus/country/uk/ https://www.worldometers.info/coronavirus/country/uk/ Neither the US graphs reflect that -- difference in the first peak of cases and deaths is 9 days: https://www.worldometers.info/coronavirus/country/us/ https://www.worldometers.info/coronavirus/country/us/ For Sweden daily cases rise steadily for months after the peak of deaths: https://www.worldometers.info/coronavirus/country/sweden/ https://www.worldometers.info/coronavirus/country/sweden/ The models are indeed made based on the described assumptions, the actually reported data however isn't as simple as the models. We are of course sure that deaths happen much later as the infections, but what would become the reported "cases" where is hard to model. The "infected but unreported" surely exist and the models rightly also try to account for these too. But everything together is harder than it appeared at the start -- even the number of antibodies among the once infected is not "yes or no, either one has them or not" but something that can be above or below the detection level and that varies through the time in the same individual, decreasing with the time, and undetectable among some who were PCR-test positive. In short, the good explanations will have to be nuanced, never simple. And we still search for all the nuances.