LAPL privileges are not included in a PPL. It's due to helicopters requiring Type Ratings and the NPPL having no fixed validity period, just rolling validity.
If we can get rid of LAPL rolling validity (as we did for the NPPL) and restructure the licence in the same manner as all other Part-FCL licences, it will be simpler to align privileges and medicals.
A revision to Part-MED is on the way and EASA has also committed to creating a 'LAPL board', so hopefully these difficulties will be resolved before too long.