I was mistaken on the solder points on the bottom of the pickup. there are two metal tabs but only one of them has something soldered to it: the green ground wire. I'm assuming that grounds the pickup proper while the white wire is the ground end of the pickup windings. If I touch the probes on my multimeter two those two metal tabs, I get a reading of 0.00, indicating to me that they are both a part of the pickups metal housing.
I looked at the pickup and there doesn't seem to be an obvious way to remove the cover. I really don't want to mess anything up and void my warranty. I'll have to look around online.