Having a unique number that is needed for identifying individuals, but also often used for authentication and thus meant to be kept secret, is bound to go wrong. There are too many situations where these use cases are in conflict, and considering Denmark has MitID - a actual national authentication solution - the CPR number should have been considered public information a long time ago, and shouldn’t ever be usable for obtaining credit or the like on its own. A system keeps insisting this is sensitive information is really the main responsible here.