Which is exactly why the Bose was replaced in my STS, and will eventually get ripped out of my CTS.I have the exact same sound system in my car and with the bass at max I bottom out the rear speakers at relatively low volume.
I don't need to know how it works to know what replaced it sounds better, my ears made that decision for me.Why don't you use your BOSE amps power signal, the car already has control for that. Each speaker has 4 wires, 2 are sound and 2 are power. That power is ON as long as the sound system is ON (sound system on doesn't mean HU is on, the sound system is on even when the HU is OFF, still does the chimes if you pay attention).
Know your BOSE system and then say is not good.