I have to agree with Uwe on this and admit that I am one of the guilty party. I have used (mainly) my Jazz bass for 30 years now. It wasn't until I became aware of Allen Woody that I even questioned why anyone played a Gibson bass. Even though I knew Jack Bruce and Andy Fraser were EB players I think I had read media comments to the effect that they only used them because they were little guys with short fingers. I had tried Grabbers and Rippers in shops that were not setup at all and they felt awful. Then I got to borrow a mates Victory.
That was it, I was convinced that Gibson might make great Les Pauls but they had no idea how to make a bass. And thats how it stayed for years.
Then I was introduced to Govt Mule and instantly I was blown away by the sound that the bassist was getting. It was deeper richer and mostly more organic sounding but with massive amounts of tone drenched power and I wasn't able to emulate it. With my Jazz which is modified quite a bit I can cover most (or what I considered to be then) sounds reasonably well. Listening to Allen Woody on the Live at the Roseland Ballroom album opened up a whole new world of bass sounds that not only were interesting but it was like opening the door to a candy shop after hours for a kid.
I love the bottom end that Gibsons have that Fenders dont. I love the sound of the wood that Gibsons have that seems less apparent on a P or Jazz.
I have learned with much enthusiasm how damn good a Thunderbird with TB plus pups can sound through an Ampeg. Man, What a sound!
I Love the sound and feel of my Allen Woody sig bass and I still dont understand why Uwe switched out the Woody/Farmer designed pups for the TV Jones. Mind you, I haven't heard Uwe's AW bass either.
And finally the bassist who must be mentioned for having a Mudbucker installed in his Fender Jazz bass to get THAT sound is Mel Schacher. He obviously felt the need to be taken as a serious bass player but still wanted real bottom end