I'm trying to find out if I can transfer it to another authority, INCLUDING the Examiner certificate.
Contradictory observations here above. I can only state my own recent experience.
SOLI-ed UK CAA to IAA, licence with all ratings MEP ME-IR FI with all FI privileges including aerobatics instruction privileges and more AND examiner certificate were transferred, UK CAA and IAA together processed all in a matter of weeks.
jr