No problems or extra charge for bike, May 2005, Raleigh NC to Gatwick to Madrid. Used AA bike box, sealed it before going to airport. It was not opened by TSA.
AA did not have bike box for return trip, so bought box from Air France. No charge from AA for bike as luggage. Wrapped and boxed bike at the airport.
See pg 1 and pg 28
http://www.crazyguyonabike.com/journ..._id=25463&v=bh
I printed the same AA information you have and carried it with me as proof that there would not be a charge for an INTERNATIONAL flight. Did not have to show it to anyone during the round trip.