Aha...found my reply from the CAA...date 29.Jan.2002
Re: logging P1S for club checks (not licence related).
Thank you for your email dated 05 January 2002, firstly can I apologise for
the delay in responding to your enquiry.
[snip]
Officially you can only count time as Pilot in Command (PIC) or
Pilot under Training (PUT) in a single pilot aeroplane. However, recently
pilots under going test or checks have logged Pilot in Command under
Supervision for things like IMC Flight Tests, LPC and PPL(A) Skill Tests.
JAR-FCL 1.080 details the logging of flight time, can I refer you and your
flying school to this for a definitive answer.
I trust the above has clarified the current requirements. If you have any
further questions relating to this email please visit our website or
alternatively, please contact your Customer Service Team on 01293 573700.
Yours sincerely
Justin Willcocks
Licensing Operations
When his says checks he means LPC - not club checks as clarified above. Club checks fall fall under the first part of the statement.
It still stands that the dual training flight requirement must obviously be logged as put because otherwise it is not a 'dual training flight' by definition.