Hey Philltowns.
According to FAR 61.1(b)(3)(ii)(B) .... for the purpose of meeting the aeronautical requirements, for a private pilot certificate (FAA), cross country times means - "a point of landing that was at least a straight-line distance of more than 50 nautical miles from the original point of departure."
If you were training for, did the checkride with a JAA certified examiner and received a JAA license then I would agree with you in that you would most likely note it accordingly in your logbook. My FAA PPL checkride was noted as PIC.