That, too, I'm sure. My design involves fairly low-ouput, but still high impedance coils, with voltage being boosted by one type of preamp, then converted to low-z by another type. Impedance is not really a means of saying what power is. After it's converted to low-Z, it's has a slight decrease in voltage, but a big boost in current, it will sound signifigantly louder. A little something called Ohm's Law will tell you why this works. As resistance decreases and voltage remains constant, current increases. The lower impedance along the length of the cable (and in the electronics cavity) allows for spare capatitance to not as much treble loss from the cable (it really can't be noticed at all with it unless it's really long!).
Anyways, I have experiment with low-Z pickups running into a preamp converting them to High-Z, and yes, they are low noise, and very clean sounding, but not too trebly or thin, they're great for Jazz!!!!! This was at a time when I didn't have access to enameled wire smaller than 28 AWG. I think I'll go back to the drawing board with that one, now that I think about it! I got so much more knowledge, now!