To answer the original poster's question...
I've had a few jazzes in my time as well & the best amongst them was the last of run American Standard S1 model. It still had the unfinished feeling neck but was an excellent bass.
The new bass, is streets ahead of the S1 model, although I did like the tonal variation afforded by the S1 switch. The production changes are as follows...
Thinner undercoat lacquer for improved tonal response and sustain
High mass bridge
Satin lacquered neck and gloss lacquered fingerboard (maple only)
New 30% lighter tuners
Doesn't sound a lot, but the difference between the two is huge. My S1 Jazz was a lovely bass, but I always felt that the necks on the S1 models felt unfinished and rough to the touch. The new ones are just lovely. Possibly the nicest wooden neck I've played. I use my 09 Am.Std. with a Sadowsky outboard preamp/di & the sound is just huge. Of course, the bass sounds great on it's own, but the Sadowsky pre is just the icing on the cake.
I'm thoroughly pleased with mine!
Rich.