The ID presented at time of purchase does not have to be the ID of the actual user of the card. Your local drunkard will be happy to get $10 to buy a SIM card for you. Or you could visit eBay (or local equivalent) and get a valid SIM card without leaving your house.
"For the Selfie-Ident you identify yourself with your identity card, passport or residence permit. (Selfie-Ident is currently possible worldwide with the German ID card, residence permit and passport. Alternatively, you can use Video-Ident and identify yourself in a video call with an employee.)
Important: Temporary identification documents are not supported due to internal check. You need a tablet or smartphone with a camera and an internet connection."
In my country, giving a SIM card to another person who does something illegal, is a crime. No doubt EU might soon have the same law - they are pretty good at copying.
As a result, sites where I could rent a number for verification, now don't offer local numbers anymore.