You've got it about right, Arc, but I wouldn't worry too much,
because,
conversion to LAPL(A)TMG or even LAPL(S)TMG is fairly painless*.
Its in CAP804 Section 4 Part P page 13 or 15.
You may even prefer these EASA licences; get your head around the rolling recency concept and you need never go near an examiner ever again.
*apart from handing over cash just to keep doing what you are doing at the moment.