Electrons have a mass asociated to them. Regardless of the size alternator, if the bateries and cap are topped off, current flow within the wire has slowed to a crawl. When the amplifier hits, first the current comes from its own capacitor bank. Next it would come from an external cap or battery installed nearby. By then this has created a demand for power, a negative pressure if you will through the 15 feet of wire to the cars alternator and other battery. This process takes time, like starting a river to flow from a standstill. Just cause your alternator is cranking, it doesn't mean you have a continuous flow of its max amp output flowing through your wire at all times. If it did, you would blow fuses and create a high flowing whirlpool of wasted energy. Also, theres a reason that capacitors operate at a higher voltage. Lower resistance+ higher voltage equals a much faster discharge. And I dont care if you had an infinite amount of batteries in parrallel. In theory the resistance would drop down to zero, which would equate to almost instantaneous delivery, but in practice, even in that infinite aray, if you replaced a single battery with a capacitor, it would beat them all to the punch. A capacitor doesnt really on chemical reactions, it delivers current through a faster process at a higher voltage, it suplements speed of delivery. If you had an alternator which could increase its output voltage instantaneously in unison with an amplifiers demands, then it could possibly beat the battery and capacitor to the punch.