I don't see how population size of a country has much to do with anything . Rich populous countries such as USA should have advantages in technology and research that small population countries -whether rich or not -don't have .
American covid deaths on a per capita basis are run of the mill with Western European numbers -neither particularly better or worse ( I think deaths per million is the key stat )
America's problem -if I may say so - are mainly to do with that the country is becoming ungovernable being composed of several tribes who simply can't get on with each other . All countries have a shelf life - maybe USA is reaching it's use by date
Countries like Australia and NZ are high trust societies -this makes all the difference
India ,as always, is a mess