Despite the clear and simple explanation above, I am now looking at EASA NAA issued Certificate of Registration saying:
4) Name of the Owner
5) Address of the Owner
But hold on...
Note 1: This Aircraft is Operated by... (different entity)
Note 2: This Certificate is issued for registration purposes only and is not a certificate of title. DG CAA does not determine rights of ownership as between private persons.
After a closer look, not confusing at all.