Loving the (not) patented thumb rest.
As you've said, the Jazz is a bit of a rarity, and if it has that growl, it's a keeper. As much as I love a 4003, a good jazz is a good jazz.
Loads of Rush songs, and the bass intro to Sabbath's NIB.
There's other songs as well, but as many have said... just don't have the patience (or the time).
What is the guitar focussed rig you're running?
I use a Line6 POD Go for all my bass modelling / effects, so if you have something like that then running a guitar/bass set up is as easy as switching between presets.