Sweden didn't have an official lockdown, but they encouraged safer behavior and already have more work from home and single people living alone than other places. That would not have worked in the US, and in truth it didn't work as well as their neighbors.
They certainly have, but not due to a 'shutdown' like the ones that were being encouraged in every other country. The media stats said that we were in for 2m deaths in the United States if the government did not shut things down. That was wrong. A proper media response would have anticipated that -- even if the gov't didn't shut things down -- people would have been more cautious by making individual decisions. That would have lead to a better government response.