Yes thats what I thought originally for the JAA, but according to the advice I have received (and my own opinion) due to the fact that you are spending your money in the USA, the CAA dont like this as your not in their'back yard' and would rather you be spending it over here. I thikn thats why they make it difficult to get the license. Like I say, I do know of people who have been and done JAA approved courses and been refused a license upon return for one reason or another.
Also when a potential employer looks at where you trained, surely they would rather you have been tought in the UK (presuming a UK job)?
Regards
Lee