Captainkarl, FCL.210.A states:
(b) Specific requirements for applicants holding an LAPL(A).
Applicants for a PPL (A) holding an LAPL(A) shall have completed at least 15 hours of flight time on aeroplanes after the issue of the LAPL (A), of which at least 10 shall be flight instruction completed in a training course at an ATO. This training course shall include at least 4 hours of supervised solo flight time, including at least 2 hours of solo cross-country flight time with at least 1 cross-country flight of at least 270 km (150 NM), during which full stop landings at 2 aerodromes different from the aerodrome of departure shall be made.
There is no reason why a CRI could not conduct differences training for VP prop / tailwheel etc. within the 5 hours of flight experience which are not required to be in the ATO's training course because such 'differences training' is obviously outside the mandatory 10 hrs of flight training.
Incidentally, it is likely that the LAPL(A) to PPL(A) flight training requirement will be amended to include dual training for 'any parts of the PPL course which were not previously completed in the LAPL course'.