3,3k has so far died in Sweden and the population is 10 million. I believe 22k has died out of 8.3m in NYC, so NYC seems clearly worse.
The strategy was to face more infections short term in favor of quick herd immunity so it’s actually a very positive sign for the strategy that the death rate is not higher than NYC.
Considering that the curve has flattened and herd immunity is projected in a couple of weeks, it is not clear the total deaths in virus lifecycle will be bad.