Once obtained, the privileges of particular class rating authorizes the holder to fly on the specific variant on which the skill test with EASA examiner has been successfully passed on. This applies basically for all class ratings - e.g. SEP(land), TMG, MEP(land) but also for the EASA typerating.
It is important to mention that transition training is required for all variants and all EASA license holders. That means the familiarization training is mandatory for PPL(A), CPL(A), ATPL(A) and MPL(A) holders as required by FCL.710 and GM1 FCL.710. For LAPL(A) holders the familiarization training is required by FCL.135(b) and GM1 FCL.135(b). That means nobody is exempted from attending the familiarization training.