I have owned the BG-11 for a few years now and only recently got around to trying out the BGM-E11A "AA" battery pack.
I noticed that the "AA" battery pack does not show the shutter count on the battery info, and that it says "BGM-E6" instead of BGM-E11A. ("BGM-E6" is the AA pack for the 5D Mk II)
Is this normal? Does anyone else see the same thing when using the AA pack?