I have no experiences of Moon basses unfortunately. I am on my second MIJ 75 reissue though. I stupidly moved on the first one rather than persisting, it was the best looking bass I've ever owned and it sounded very good, it was a maple board, butterscotch, gorgeous thing. I've now got a vintage white, rosewood board one and I've put LaBella flats on it. It's absolutely glorious through a valve front end amp.
The neck profile feels pretty typical of a jazz bass to me. I can't say I've noticed anything different with it, it's not the slimmest I've ever used (Sandberg) or what I would call a baseball bat meaning a bit thick massive thing, the worst offender being a Warwick $$ and a comfortable but massive neck being an MIJ PB70.
I also have a newish US Jazz bass and the neck profile feels similar, the finish is just different.