Re: Seymour Duncan pickups with Copper band around coils...
I’m considering simply unsoldering where it’s connected. I’m getting my guitar shielded with copper tape anyways so I’m thinking it’s just redundant and maybe the proximity is what’s deadening the tone.
Having not tested a Nazgul (or more exactly YOUR Nazgul) with or without copper tape, I don't know why it lacks of brightness to your ears: is it because of inductance? Stray capacitance? Q factor? Foucault currents aka eddy currents?
I just think that in each of these cases, JUST disconnecting the copper tape won't have much effect while removing it might damage the coil.
In such a case, if I wanted more brightness, I'd rather try a higher resistive load (with 1M pots or "no load" tone controls) and/or a lower capacitance wiring/guitar cable (ideas here:
http://www.shootoutguitarcables.com/guitar-cables-explained/capacitance-chart.html).
Then I'd try external tricks like a cap in series with the pickup or an inductive load in parallel with it.
Then I would possibly try to lessen the inductance by decreasing the metallic mass of the magnetic circuit (by shortening the screw poles, for instance).
Tinkering with the copper shield would come in last position and I'd probably "dewax" externally the coils before any attempt to remove this copper strip.
Now, do what you want and be happy. Good luck in your experiments!
EDIT just to share possibly useful links. See here what is said about a "gap" in the copper shield:
https://www.premierguitar.com/articles/26279-mod-garage-how-to-shield-single-coil-pickups?page=2
And here is the technical idea behind:
http://kenwillmott.com/blog/wp-content/uploads/2016/11/Pickup_Cover_Geometry.pdf