I have a Ibanez Iceman with a Fred in the neck and an Evolution in the bridge. I set that guitar up to ROCK and it has exactly the sound I wanted. Kind of like a cross between a Steve Vai and Joe Satriani sound. Neo-classical (ie. Malmsteen) would sound great with these pickups if you can keep all the overtones and harmonics under control (your going to have lots). I know you specifically asked about the Tone Zone, but since the Evolution is sort of like a Tone Zone taken up another notch, you should get a similar result.

These pickups would probably be okay for heavy blues but they wouldn't be my first or second choice. I would definitely not recommend these pickups or the Tone Zone for Jazz.

To cover all three of the types of music you want to play, it would be hard to beat DiMarzio PAF-Pros in both the neck and the bridge. Although I love the way my Iceman sounds, I'll pick up one of my other guitars to play Jazz or Blues.