Milan, according to the telly news, has filled up with inhabitants all back from their summer hols, only there is not much traffic around and there are still plenty of vacant parking spaces and many shops are still shut up tight. So the news is wrong.

Stop reading, start speaking
Stop translating in your head and start speaking Italian for real with the only audio course that prompt you to speak.
My guess is that people will drift back this week and everything will be good and busy from the beginning of next week.
The horses mouth has spoken.