Interesting analysis, but what it doesn't really address is scale. The population of the USA is 5x that of Italy, and 6x that of Spain or South Korea. I think the analysis of the shapes of the graphs can be instructive, but not necessarily the numbers themselves. The US is in many ways more like a continent than a country.
The US and China are about the same area. China has 4x the population
Cases (and deaths) per million inhabitants seems to me fair enough: