It seems to me like it's either a privacy disaster waiting to happen (if not required) or everyone but the biggest players throwing out a lot of bathwater with very little baby by simply not accepting Danish users (if required).
The wording on the page also makes it sound like their threat model doesn't include themselves as a potential threat actor. I absolutely wouldn't want to reveal my complete identity to just anyone requesting it, which the digital ID solution seems to have covered, but I also don't want the issuer of the age attestation to know anything about my browsing habits, which the description doesn't address.