Making computer names visible again

Recently, newly added computers associated with my license are no longer displayed by their computer name but are anonymized as "GDPR_HIDDEN." (see photo)
Since we need to assign licenses specifically and, if necessary, revoke them, we require a clear association with the respective users.

How do I enable this, or what do I need to tell the users (they all use Macs) so that the names are visible again?