I'm not sure if the CAA even need to have you on record.
The Law states quite clearly that it is: ANO Article 6:
(2) If the CAA receives an application for the registration of an aircraft in the United
Kingdom and is satisfied that the aircraft may properly be so registered, the CAA must
register the aircraft, wherever it may be, and include in the register the following
information:
(e) the name and address of every person who is entitled as owner to a legal interest
in the aircraft or a share of the aircraft or, in the case of an aircraft which is the
subject of a charter by demise, the name and address of the charterer by demise;
must be notified using this form.
The form is rather out of date!