Very interesting ideas and astute observations. Pickup manufacturers really ARE trying to sell as many as possible, so my guess that risk-taking design wise is minimal, and hyping of top-secret goodness is maximal. For better or worse, I still fall into the camp of "if it sounds better, we should be able to figure out why and recreate it".
Pickups have inherent electrical properties such as the resonant frequency (a result of inductance and capacitance) and the height of the peak (result of resistance). I've gone on excessively about SPICE analysis for pickup wiring, but that is not the full picture. The magnets are also critical, and can actually be one of the non-linear (distortion producing) elements outside your amp's circuitry.
Since at least part of the industry's focus is on overwound pickups, I'd go in the opposite direction.
How about an underwound pickup using fatter wire (lower resistance) for a real distinctive peak (whose frequency could be tuned with load capacitance if needed)?
Anybody make a pickup that mixes magnetic materials or uses really weak magnets? Something purposely microphonic? How about the bzzzzt-skreeek that Pete Townshend gets after smashing his SG against the stage a few times? You don't think those sounds are a critical part of the performance? I sure do.
I still think that a lot of a pickup's character comes from its electrical frequency response, and messing with resonances in those circuits can give unusual results (which are perhaps not suitable for every occasion).
Depending on how crazy you want to get, I'd even recommend getting some used pickups on eBay and mess with them. Peel off 10 feet of wire, cut it off, and put it back together. Or peel off 2/3 of the wire, scrape the insulation, solder a small wire that can come out externally, rewind 1/3 of the wire, add another wire, and then rewind the rest of the pickup. Now you've got two coil taps, which you could bring out directly, or wire to caps, or God knows what.
It's easy for me to recommend to YOU to waste your time like this! But you never know - you might hit on something that nobody's found, or thought was worth pursuing.
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