I've found jazz basses with the 60's bridge pickup placement to be warmer and more pleasant to my ears. I've fought with j basses with the 70's pickup location, where I just don't like the sound as much. Too thin in comparison.
That being said, tones with a distorted clank, such as Geddys, I like, and I set up my basses and play them completely different to get that tone. On a typical standard tone, for lack of better words, pay more attention to your technique, raise your action up, or deal with less top end. J basses are a touch more scooped, so that top end can get a little clanky if you overcompensate with highs.
I've been gigging p basses lately, but I do love the growl I get from my jazz basses with the right rig and set up.
I've found I like jazz basses with mid forward speaker cabs, such as GK rigs, and p basses with darker cabs, like Ampeg SVT cabs. That might be a thought to chase as well.