I routinely replace the BBOT bridge with a Schaller 3D, not for any huge sound difference (there isn't any, and I'm fairly doubtful about the sustain thing, as well), but because if you play with the heel of your hand on the bridge a lot like I do, the Schaller is simply a more comfortable shape. Plus, I've found the lateral adjustment useful in the past for correcting any slight pole/string misalignment, something you can't really do on a BBOT. Never been particularly keen on Badasses, tbh - they seem like an awful lot of money for what you get.
I wouldn't go back to a straight P after using PJs, (they're still a P, just with more options), but I've some GAS at the mo for a double-P, just to hear what they sound like.