To be precise, hospitals are overwhelmed only in Lombardy right now. You are correct in that only a very small percentage of the population got infected, but it

To be precise, hospitals are overwhelmed only in Lombardy right now. You are correct in that only a very small percentage of the population got infected, but it is densely clustered in a small area (https://lab24.ilsole24ore.com/coronavirus/ https://lab24.ilsole24ore.com/coronavirus/). However, I agree with your greater point. Reaching herd immunity levels will take months unless a country wants to sacrifice 100.000s or even millions of people.