The thing with the corrosion being there is you don't know how good or bad a connection each pin has... and the resistance will fluctuate with different conditions. I'd clean that plug out the best you can and try to restore as much of the connection quality as you possibly can. Remember that almost nothing on BMWs are regular 12v switched circuits. The window switch signals are low voltage square wave signals via can bus connection, so a bad connection due to extra resistance can REALLY fuck with things! Maybe you can use a solvent type of stuff to aid in cleaning it out like battery post corrosion cleaner spray then while it is wet with that plug/unplug it a bunch of times to help wipe the pins clean, then clean it out with contact cleaner and dry with compressed air. Definitely worth doing before ordering $100 worth of parts.

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2003 4.6is