The BA selection procedure is not only designed to select those who are most likely (not guaranteed) to pass the training, but also, and this may be as important, to select those who fit BA's personal qualities criteria. They are very keen on people who have a clear idea of business priorities, and have the communication skills to pass their ideas clearly and concisely on to others.
Mintflavour, your post suggests some of the reasons why you may not have made the grade with BA. Other employers may not be so worried about communication skills.