I'm just not a fan of Fender preamps.
Of course, it's been quite some time since I've played an American Deluxe Zone bass and the strings might have contributed to the poor sound quality, but when I try out basses, and I try out quite a few, I generally remember the ones that wow me and the ones that fail to move me...and I've read the preamps in those had more issues than just a poor/rushed design.
Other than that, if you're interested in owning a bass with a preamp, you can't do better than a G&L L2000, USA or Tribute...they have a preamp bypass so you can also play passive...even with a dead battery.