I love the sound of the J/MM pickups on my Lakland (I have the LH system now and had the Barts) - it just gives a great sound no matter what the settings I use. The sound sits well with everything I've used it in.
FWIW, I play mostly in churches but the bands have varied from just a three-piece rock oriented band to what I have at my home church (bass, drums, acoustic guitar, electric guitar, B3/2nd keys, piano, 2 percussionists, 9-15 horns, some strings, 7-9 lead voices, 100-voice choir). And the bass sounds good in all those situations!
IMHO, the -01 series electronics are just OK and you do get some benefit with a better preamp (I really like the Audere sound on my Warmoth fretless). I'm just sure that it would not get you everything an -02 would.
Music is the movement of sound to reach the soul for the education of its virtue. - Plato