Oh, I don't think your problem will be with the air injection system then. The code I was getting had to do with a faulty secondary mass air sensor.

That air pump system described above just pumps fresh air into the exhaust for x number of seconds on startup to help light off the cats. After it shuts off, it doesn't come into play anymore until the next cold start.

Bank 2 too rich could be a lot of other things from bad o2 sensor, leaky injectors, bad plugs or coils, etc.

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2012 xDrive35d
2001 BMW X5 3.0i 5MT
and two 1987 Corvettes - Callaway Twin Turbo and Guldstrand Grand Sport 80
Block Tester