I found this on our forum, from Evan Skopp:
The Jazz II was a advertising copy mistake in the Godin FAQs. I think they knew it was the SH-2 and somehow, Jazz and SH-2 got combined into Jazz II. But they're the same pickup.
The "Custom Custom Custom" or "Custom Custom Plus" was the forerunner to the SH-14 Custom 5. Same pickup. Custom or Custom Custom with an Alnico 5 magnet.