This is where I personally would do some testing. My gut says that without the cap this bass will be very bright. Jazz, bridge pup much stronger than neck, 500K or higher pots. So with no cap this bass should be pretty bright.
The cap won't block all the highs, especially in a passive bass. So it's really about having a meaningful rolloff of some of the highs. If the cutoff is very high you won't hear it at all rolled off, or not much. Too low and it goes from bright to mud too fast.
The only way to know what you will like is to experiment. Wire up the bass and alligator clip some different caps in place to see what you think of the rolloff. Caps are cheap and the green and red gumdrops work just as well as the orange drops. For $10 you can get a small handful to try ;-)
I got similar advice on my ESB-4 project from Wierd Bits and the results surprised me, so I was glad I tested.
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