The Jazz bass was designed for playing Jazz. Fretless basses are only for playing Jazz. So you buy a fretless Fender Jazz Bass, you play some Jazz, and you are doing what you are supposed to be doing.
The Fender Precision bass is for Precise notes, and should never be fretless, because it was designed for precision. (even though the actual intonation is inaccurate for proper musical scales, but that is another lesson for another day)
What you have to be careful of, is buying a Gibson Explorer Bass, because you have to play it out in the jungle, while wearing one of those weird Australian hats, and saying "G'day" to plants and gorillas. It is difficult to find power, or be heard over your portable generator, which explains why they didn't sell as well.
Curiously, the Rickenbacker was NOT designed to be played on a Zeppelin, or while flying a single engine fighter plane, but I'm almost positive the Music Man Bongo was designed for Afro-Cuban rhythm.
That's some funny stuff!! Well done!