The DC does fine in the neck dive department as well, because they neck weighs about as much as a toothpick. I think it IS a toothpick.
I did do two slight mods to my DC that improved it a lot, I think:
* The plastic stock strap buttons are AWFUL. They pop right out of the body if you tug on them. I drilled out the hole (easy with these kooky materials), glued in a piece of hardwood dowel, drilled a 1/8" hole in the dowel, and screwed in my favorite Dunlop Dual-Design strap buttons, which (mostly) hide the dowel. No more dropping the bass ever!
* I wanted the pickups closer to the strings. They're pretty weak, cool tone but not much output. The pickup height is adjusted by screws through the BACK of the body, which works okay, except that they cannot be raised very close to the strings at all because there's nothing pushing the pickups up - they will flop around in the body long before you run out of screw length. So I took them out and wedged some foam under them. That did the trick.
I also have a U2 guitar of the same vintage (1999ish?), which is basically a single-cut six-string version with all the same hardware. I did the same two mods to it too.
If I were going to change anything else on the bass I'd replace the tuners, which are hard to turn with those little buttons, but do stay in tune pretty well. I'd be afraid of adding weight to the headstock though.
The crude quasi-adjustable bridge doesn't bother me much (I can get the intonation pretty good), except that the wrapping on the E string tends to extend past the saddle, so the E sounds a bit deadened. I notice it when playing alone, but it doesn't stand out in a band context.