Has anyone managed to get an EU green pass based on a CDC card? [duplicate]

So we know that different EU countries have different approaches to proof of vaccination and some do not accept the CDC card in the first place... but the way the system was supposed to work was that if you got into one of the participating countries, that country would issue you with a Digital Green Pass which would then be accepted by all the others.

Has anyone managed to get a DGP this way, or maybe tried and been refused?