Sweden also has a fairly low population density outside its larger cities, as well as a relatively small (10M) population. And its measures aren't without criticism - consider they have 100 deaths per 1M people, which places them 10th on countries with over 1K cases.
There's states in the US with similar densities; I'd imagine those would be spared most of the deaths, even if stricter measures weren't implemented, but what about the coasts?
Honestly, the US, large and heterogenous as it is, should implement different measures per state. It's obvious to me that what works for some places may not work for others so well.