OK, Fam, I went to my local store and they had a Fender MIM Standard Jazz 5 and an Ibanez SR905 (same electronics as the SR505 but a one piece (is the word for that "neck through"?) body. I played both for about 20 minutes each, same amp, all settings flat.
Conclusions? I like the Jazz Bass sound. No question about it. I don't know if I can adjust my EQ to get that sound out of the Ibanez, but even if I could why not just play a bass that has the sound I am looking for? The Ibanez controls are volume, pickup balance, bass, mid, and treble. I know the G & L has more tonal options (including a passive/active) switch, but there's not one locally I can play.
All said? It looks like I will be shopping eBay, craigslist, and talkbass for a Fender MIM Standard Jazz 5.