A couple of counterexamples:
Italy's "fiscal code" is generated with a simple algorithm which can be executed manually:
https://en.wikipedia.org/wiki/Italian_fiscal_code
Sweden's "personal identity number" is public information and can be looked up by anyone:
https://en.wikipedia.org/wiki/Personal_identity_number_(Swed...
This also means a person’s Belgian RRN can change.
It's not clear how it is supposed to work in detail. But it sounds like it could be implemented in a way that makes illegitimate queries possible. It doesn't sound like they want to really ensure that you can catch those.