You can only play a J bass in jazz music. Smooth jazz needs to be played with flats...
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On which planet does this happen?
"Smooth" jazz (Oh how I hate that term) bassists play all kinds of rigs. Its less about the bass and far more about the approach to the instrument. Many play fivers, and most I have seen play round wounds cause there is no shortage of slap in that style. I have seen P and J basses along with Music Man, Alembics and so many other brands used. There seems to be a slight preference for pre amped basses, but again, there are guys/gals playing all kinds of basses in this "genre".
I think one hallmark of this style is everything is squeaky clean and very tight. The bass lines seem very thought out to me and very controlled. I'd say this counts far more than what bass the bassist is holding. You decide whether this deserves the term Jazz.
Now as far as "smooth Jazz" as a genre goes: For my part, I am gonna put on some Charlie Haden, then Listen to Christian McBride's latest effort. If I want something a little more danceable, I will listen to the masterful lines of skilled improvisers like Mr. Jamerson. Electric? There are plently of guys/gals playing great Jazz on electric. Tal Wilkenfeld, Victor wooten, Al Johnson, etc....
I hate most smooth Jazz, mostly because they pull much of the improvisation out and put in hooks and repetitious grooves that have kind of a jazzy feel in place of improvisation. I listen to it and keep wanting more, but it never happens.
That is all fine, you can play and listen to whatever you like and have your own opinion about everything else, but why call it jazz then where is little to no jazz in it?