But in general, yes. Areas with stronger restrictions have significantly fewer deaths, and areas that enacted restrictions saw deaths drop by 3-5x already, with continued downward trends as opposed to upward exponential ones.
https://www.cnn.com/2020/04/28/europe/sweden-coronavirus-loc...
Comparing to its geographical and cultural neighbors helps deal with differences in city structure, public health system, trust in government, population density, etc.
Even if we take Sweden's case at face value this is still 1/4 the multiplier that people seem to think it is. Furthermore, Sweden is pursuing a strategy of herd immunity: let people get infected so that the populace becomes immune. They should see a higher rise in deaths, but also a faster decline as the virus runs out of viable hosts. A tall, narrow spike versus a wide, shorter curve. The area under the final curve is what we're looking for.
See Figure S3 here: https://t.co/JYf1F5GnYu?amp=1
I'm not saying it will be that way, but it's worth considering.
Link to something a bit more credible.