I was chatting with a friend in Copenhagen the other day, I was supposed to move there in April. This is what he was telling me on Thursday.
They just had a spike in cases from people coming back to Denmark from summer holiday and the wedding season. Government shut bars and restaurants for an early curfew and limited gatherings like you said above. There is still the restriction on travel for necessary reasons only. Most of the Danish were not wearing masks back in March and the Government just started mandating people wear them with the curfew and new spike. They did not shut the entire city down but some businesses have shuttered and there has been a spike there. The Government did a great job originally in March shutting everything down and had a low number of cases but with the new spikes in cases they're trying to keep businesses open and keep a semblance of normalcy as of right now things have tightened up around the city. Edited: People are apparently taking it seriously and there has not been a lot of normal activity around the city.
Hope that helps. Cheers!