I've experienced this "solved problem" when visiting Germany during COVID. On every entrance to a mall there was somebody with a scanner device, and they only let you in if the scanner showed a green mark. I've been fully vaccinated (not EU) but my code didn't show a green mark on their scanner and I was promptly denied entry. The solution was to show them my German friend's code on my phone, this registered just fine, so I could enter anywhere.
So the whole "eID/CAs/ZKP/PKI" mumbo jumbo can be easily fooled by a gif file.