With regards to tone, my '73 Jazz bass is like a snarling dog (mid-range tonally), barking up your trouser leg! But my '71 P Bass has more of the thump & thud (or 'click & boom' tonally).
Both have there merits & both are relevant & important in tone for a working musician.
With regards to other makers Jazz basses, I've not tried any so cannot comment. Although, I did try an 80's Tokai version years ago & it was pretty good, but not as 'musical' sounding as the Fender.
I am looking to sell my Jazz Bass in the next couple of weeks as the tax man is knocking my door! So I shall be putting an ad up here very soon.....
I hope that was useful?????