Also, the light on the transmission selector does not indicate sleep or wake mode. It has no bearing on what mode the vehicle is in.

If you want to troubleshoot further, you need to determine what the current draw is when the vehicle is awake and then asleep.

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2007 X3 3.0si, 6 MT, Premium, White

Retired:
2008 535i, 6 MT, M Sport, Premium, Space Grey
2003 X5 3.0 Steptronic, Premium, Titanium Silver
2002 325xi 5 MT, Steel Grey
2004 Z4 3.0 Premium, Sport, SMG, Maldives Blue