I can't give you a comparison between the two types, but I can tell the Jazz Flats are fantastic on my old Sigma fretless A/B. The tone is perfect, the tension is perfect. If they are long enough, you want them on your bass. I haven't tried the Acousticores, but I can't see how they could be any better than the Jazz Flats.
I use all types, counts, and materials for; strings, amps, basses, & speakers. Non club member #??