I recently bought a Les Paul online and when I tested it out the neck pickup was incredibly quiet. I could hear that it was on, but I really had to listen. When I had it in the middle position, it sounded exactly like the bridge pickup. According to the seller, the guitar was working fine before he shipped it.
I haven't had a chance to look at it yet, but I suspect that it's a wiring issue (I really hope it's just a wiring issue). I'm curious what part of the wiring would cause the pickup to be extraordinarily quiet or could it be a different issue all together?