Yeah, those are the two things I tried... Jazz bass and P bass respectively, but neither had -- in his opinion -- the requisite level of "bright but not harsh" which he seems convinced that only his particular recording can achieve.
He recorded that with a Gibson Ripper with completely dead roundwounds (we're talking 5 years dead... seriously) into a vox tonelab (?!) set to the AC-30 model and then used a pro-tools plug-in to recreate some of the lost bass frequencies. I'm pretty sure he claims to have played that with his fingers, but i don't believe him.
I'm pretty sure the reason I can't get anything to sound *exactly* like that is because it's recorded in such a weird, overly complex, mickey-mouse kind of way. When I play my P-bass it always seems to sound too thick, my stingray can come close but the sound is just a bit weird (too stingray-y), closest I've come is with my old beat up jazz with the bridge pup solo'd... I just think the whole thing is funny. My singer's convinced that nothing will ever get that Ripper sound. Lately I've been using my Guild
JS-2 (similar to a Gibson EB3) for this song, and it sounds nothing like that recording, but hell, it still sounds good.