Clever and interesting idea but IMHO, it would just load down the pickup, a bit like a lowered tone pot would do.
Something that I've done more than once is "virtual unwinding" inspired by the good ol' Lawrence Q filter and effectively equivalent to virtual tapping : I put a LR network in parallel with the pickup that I want to "aleviate". Like a second pickup in parallel, but a dummy one. It can even be done with some cheapo humbucker deprived of its baseplate and magnet (but not of its magnetic poles since they contribute to inductance). This in series with a resistor and the whole in parallel with the pickup = realistic LRC specs.
I share below a pic of what it gives with a Gibson 496R and Gibson 500T, itself in parallel with a switchable LR filter.
Ignore the bottom waving dotted line (translating the phase response) and focus on the upper "mountains" showing the resonant frequencies of pickups: orange line = 500T at full power. Blue Line = 496R. Purple line = 500T in parallel with its dedicated LR filter. I don't think the resonant frequency of a tapped 500T (properly wired) would be really different. And it puts the resonant frequency of the 500T at the same place than with the 496R, giving really similar sounds to both pickups.
Not to mention that it works musically. ;-)
FWIW (= my two cents).