That’s only for German citizens. As an EU citizen living in Germany, I can identify myself with my ID or passport from my home country. Those don’t contain an address, so the only document I have of my German address is the paper I got from Bürgeramt.
A bit complicated, I wish my ID could be just stamped with my German address instead - the format and content of the ID should anyway be mostly uniform within the EU.
Where I come from we don’t have addresses on IDs - you’d have to replace them any time you move.
Then I got in (mild) trouble with German police because i didn’t. I had honestly never seen one that had it.
As you mention German police, in Germany you need to always have your current address on the card. When you move, your ID card is updated. They don’t replace it, you get a sticker on it that is stamped. It looks like you can even order it by mail now, in which case it gets a QR code with digital signature instead: https://www.personalausweisportal.de/SharedDocs/bilder/Webs/PA/DE/Allgemein/Schritt_5_Adressaufkleber.jpg?__blob=normal&v=5
That’s only for German citizens. As an EU citizen living in Germany, I can identify myself with my ID or passport from my home country. Those don’t contain an address, so the only document I have of my German address is the paper I got from Bürgeramt.
A bit complicated, I wish my ID could be just stamped with my German address instead - the format and content of the ID should anyway be mostly uniform within the EU.