Okay since you're thinking about experimenting, following is something I've wanted to do forever and can't find the time. And it's somewhat similar to your thinking, but I think it would have good results...
Start by winding three or six coils depending on how detailed you want to get.. if you do six coils, each one has a single pole piece or if you do three coils it's two pole pieces per coil.
Using six individual coils, it would be something like the zex, if you put them right next to each other under each string, you get one dedicated pickup for string. Same general idea if you do it in sets of two.
Where I think this might really pay off is doing this three times, one in each of the positions for regular Stratocaster pickups.
I've thought about ways to make switching easy, but just to get started you could just have a total of six times three input and output wires...
The idea would be to combine them to find what sounds are most interesting... The one that I imagine might be a great place to start would be "neck" pickup coils for e and b, mid coils for d&g and bridge coils for e and a.
In my mind, I imagine that would give a very tight bright bass with a very mellow sustained high-end...
Assuming that worked, adding additional coils might be very interesting... In the example I just gave, adding in the middle coils for the E and B strings would probably increase gain for lead sustain and I'm guessing it would make it slightly brighter as well.
Depending on if you do single coil or dual coils, there's a heck of a lot of combinations to try and the only downside I can imagine is bending..
But if the balance is correct, bending into another set of coils may make very little difference or maybe it makes a lot, who knows until somebody builds it
