I have an Ibanez acoustic, was my main bass for a while (playing mostly folky stuff). They seem to be difficult to record with, never quite sitting comfortably in the mix. I still use it but just for informal jamming, probably always have one but,if times got hard I'd trade the Ibanez for a cheaper one.
Home made acoustic fretless: Also a one time main bass, mostly used for practicing/late night noodling, wouldn't be without it but not gigged anymore.
Twin neck (fretted/fretless) : my gigging bass, used in two completely different bands, both necks 50/50.
I suspect that most people would get more from a fretless than an acoustic.