Each received the authority prior to Bermuda II. CX subsequently received LHR-JFK authority when Bermuda II was modified but it was immediately contested and has never been allowed to start service.

I seem to remember, but I can't find it documented anywhere, that CO was able to add a provision during a recent modification of Bermuda II that states that it will be the NEXT U.S. airline to get LHR authority. There is no timetable for this and could happen concurrent with AA with AA (or UA) being able to serve LHR from additional destinations like DFW, RDU and maybe STL.

I hope that another FTer can speak more definitely on this possibility.