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Looking at the picture on Crutchfield's website I see that there is a INPUT for 12+ remote wire and an OUTPUT 12+ remote wire. Your amplifier is also going to need a remote turn on. I would take Technic's word and not try to use audio signal sensing. It maybe a little more effort, but finding a switched hot wire will be more reliable than depending on audio sensing. The BMW amplifier and Technic's harness both have two output wires for the stock woofers. Again wiring it the way you propose may cut out some bass information from one channel, depending on where the BMW crossover is set. My bet is that it is over 100Hz because of the size of the door midrange. IMHO running a 12+ remote wire and allowing your sub amplifier to sum the bass output to your sub would give you the best sound and reliability.
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