Well my CPL is also a PPL - it lists CPL(A) and PPL(A) in the box marked "Title of Licence, date of initial issue and country code".
I will be booking my next medical shortly - it will be interesting to see what they will give me this time around.
I am somewhat gobsmacked that the CAA medicos are prepared to put the CVD restrictions onto a class one when this is very clearly prohibited under part med. I suppose we should welcome such rebelliousness, but it does make you wonder what is going on.