Isn’t that the whole point of EASA? So my EASA medical is on Austrian paper because that’s the authority my AeMC works to. They also do initial EASA medicals also on Austria paper which presumably is acceptable to other NAAs. Before Brexit I had colleagues with uk EASA licences but medicals (and thus presumably initials) from their own NAAs.
Honestly, I don’t know the answer. Perhaps give the good folk at centreline a call - they seem pretty clued up on it all and then come back here with the answer.
Good luck!