SASless, just as I suspected...
The difference is (only) in the CFI logging time when they are not sole manipulator of the controls. For that to happen, they need to be giving instruction as an authorized instructor. A FAA instructor can indeed give FAA instruction anywhere in the world, and the person getting that instruction can use it to meet FAA training and experience requirements. Obviously, the JAA allows a similar thing, as Helicopter Adventures seems to turn out as many JAA pilots as they do FAA pilots. (This, of course is good for our balance of trade!)