Kevin; the advantage of active electronics is that it gets the preamp as close to the pickups as possible, thus avoiding loss of high-end frequencies in the signal. Thus, the best thing is to put a preamp in the instrument like Alembic does. In this case, for those who have a passive instrument that they don't want to modify, the preamp is build into the cable itself. As Mica said above, the preamp is spread out between the connectors and the box. If you were to just put a preamp in a stomp box, then you would be back where you started, a passive instrument and a regular cord; and by the time the signal got to your stomp box, you've got that same loss of high-end frequencies.
That's my general, if not highly accurate, understanding of it anyway.