Thanks so much Mike! I super appreciate this information, which is exactly what I was looking for. I had my heart set on a J-15 but the skinny neck is a turn-off. Guess I will look at the J-45 studio model.
It sounds like the "advanced response" neck profile is similar to the Eric Johnson Stratocaster, which copies a neck shape from his 50s strat, a V shape near the nut that morphs into a fuller C as you go up the neck,