Ian, I just got an e-mail from Mr. Ruddy making a similar point to the one you make. I will briefly respond. For me, "links" golf means golf played on the sandy soil linking the coast with the arable land away therefrom, characterized by hard and fast conditions. While my personal experience is limited to three trips "across the pond" since 1983, in my most recent foray (two summers ago) we played, among others, Baltray, Island Club, County Down, Portrush, and on the last day the European Club.
The European Club is visually stunning, more so than a number of the other courses, but it does not (or, in my single experience, did not) play hard and fast. Balls that landed 15 or 20 yards in front of the green did not bounce on or even over. For me, it was as if I had driven to Sheboygan to play Whistling Straits. Both great golf courses, mind you, but not (at least imo) "links" courses.