>Shutting down completely in order to decrease the total number of deaths only makes sense if you are willing to stay shut down until a vaccine is available. That could take years. No country is willing to wait that long.
Actually it might very well just be half a year until we have a vaccine. Multiple candidate vaccines are in phase 3 and they are already being produced en masse, ready to be released if the vaccines prove to be successful. And it's not like other countries in Europe "shut down completely" and remain shut until today. In Germany people are leading their normal lives, the only difference being that people wear masks in super markets, register on a list when visiting a restaurant and there are no mass events/discotheques. Remaining at this status for half a year or maybe a year to prevent tens of thousands of deaths seems extremely doable.