The main difference i think is the fact that by creating both a hex pickup and hex driver that are independant of the guitar's electronics, you have more freedom in the electronics you can create, but more importantly isolation of the per string signals.
As far as i remember, any unstable or oscillatory system will be dominated by one frequency of oscillation, typically dictated by the transfer function/frf of the constituent components, as well as the mode shape being excited.
Generally with sustainers i think the case is because they use the guitar's output and a single magnet to drive the strings, so the system will quickly tend to oscillate at a single frequency rather than excite multiple strings at once... especially considering that a non hex driver will only be harmoniously excting one string, and be out of phase and enharmoniously exciting the others.
This is an intuitive result from traditional feedback. Even with strings tuned a fifth or octave apart, with the amp cranked, you're only going to get one string feedbacking. I suspect you would need to tune them very close to each other to get them both oscillating due to feedback.
So the goal then is to create a hex driver, which is run off a hex pickup using six independant amplifiers because this will theoretically allow each string to find its own dominant oscillatory feedback frequency, and thus be independantly excited (or so i hope).
So I've read some more of the thread, and am learning more about your (and other posters) experience with driver design.
The first question that comes to mind is, what is the purpose of having a permanent magnet in the driver? I am not very knowledgable when it comes to magnets and magnet design, but to me this seems like the equivalent of applying a DC offset to your string excitement effort (not to mention the lower permeability permanent magnets tend to have)
Have you attempted using simple steel or ferrite for the driver core? I'm wondering whether it would be possible to select a material for the hex driver cores that have a higher permeability than typical permanent magnet materials. Using such a configuration would probably make it easier to shield adjacent pole pieces from each other too, since there will be less spurious and unchanging magnetic field (assuming my DC offset assumption is correct)