Ok so what would happen if you wired a resistor after both coils and then wired it normally? It would lower the output?
It would lower the output
and darken a wee bit the tone - been there, done that.
If the idea is to mimic DiMarzio Dual-Resonance, it won't work with only a series resistor, whose influence is only to increase the overall DCR of a humbucker - its transfer function involving alternative current.
Granted, Dual-Resonance relies on coils with different resistances (12k vs 5k for instance, with a same number of turns and for a similar inductance, making the 12k weaker and with another Q factor than the 5k one)... But the main effect of such dissimilar coils is due to their different parasitic capacitances, creating a double-tuning effect, so to speak.
This double-tuning effect adds itself to the same effect already due to the complex parasitic capacitance of 4 conductors cable... When generated by the coils themselves, it can be used either to aggravate the hi-harmonics comb-filtering due to the cable, either to correct it. DiMarzio seems to use both strategies IME.
No work has been done here on PRS "TCI" but to me, it appears to rely on a similar principle (since suggestively, "Tuned Capacitance & Inductance" doesn't refer in any way to DC resistance). I doubt it uses a series resistor but maybe it involves a resistor in
parallel with one of the two coils? I don't know.
In any case, it's useless IME to experiment with such things without a way to measure electrically induced resonant peaks: wether it's due to the wire used or to a 4 conductors cable, a few pF of difference in the parasitic capacitance of one coil can largely alter the response of a whole humbucker.
I've already shared repetitively a link to the article that I've devoted to this question on another forum. See the post 23 especially to see what I mean in my last statement above...
https://music-electronics-forum.com...ransducers-a-few-thoughts?p=966921#post966921
FWIW and HTH, as usual.