The Jazz is fine, but I don't spend much time on the neck pickup to have ever analyzed it that much.
For ME, the JB ends up being a little too much in the mids, for this guitar but I'm going for more of a vintage/lower output/clarity LP vibe, (think Duncan 59/PAF style), these days. I like the JB's more in an alder/ash and bolt on maple neck shredder, like a Charvel So-Cal/San Dimas, than I do on these mahogany neck/body PRSi. That combination of mahogany body/neck wood mixed with the CU24 scale length tends to get into a congested and undefined mids area for me.
For a higher output/shreddy vibe, I actually like the HFS that came stock with them more than the JB.