I agree 200 percent - I don't think you've gone far enough. When you make detailed measurements of different pickups, a lot of models are identical in terms of the magnetic circuit, but are variations in windings. The only difference between models in terms of performance is their electrical characteristics. More or less turns isn't "roughly equivalent" to a loading change - it's actually identical in terms of the frequency response changes you get.
I'd also argue it's more effective than a pickup swap - with a pickup swap, unless you've measured the pickup and know its impedance over frequency, you don't know if the swap will push the response in the direction you want - with a capacitor change, you know which way it's going. Also, if it's not quite right, with a load change, you have recourse to fine tune it - if your only approach to find the sound you want is pickup swapping, it's pretty much a crap shoot as to what you'll get, with no out if it isn't what you were hoping for.