Don't the pickups coils in series also lower the resonant frequency?
It seems like just rolling back the tone control a smidge would accomplish something similar to inserting a 1.8 nF capacitor.
The pickup coils, when put in series, add their inductance. In parallel, their inductance is halved by the combination. A pickup by itself does have a resonant frequency (because the coils do have some interwinding capacitance), but that's very much a "tree falling the forest, nobody there to hear it" thing - when loaded by a cable, the resonant frequency is lowered much more than in the theoretical case where....you can't hear it, because you haven't hooked it up to anything.
Rolling back a tone control a "smidge" damps the resonant peak - it lowers its amplitude a bit - you lose some upper mids - say at 2 kHz or so. Above and below that, it does essentially nothing to the response - if the pickup has too much 10kHz, and you roll off the tone a bit, it still does the SAME thing at 10 kHz, even with the tone rolled back a bit. Loading the pickup capacitively MOVES the resonant peak (downwards) in
frequency, not in amplitude. In doing that, you increase the lower mids below resonance some, and you lower the high frequencies above the peak - it can be a considerable amount, depending on the values of the pickup and load capacitor. Quadrupling the load capacitor will lower the treble stuff above resonance by 6dB, and move the peak down about an octave (the aforementioned interwinding capacitance makes the math not exact).
A lot of people don't really understand what a tone control on a passive bass does. It's a very common misconception that "it just turns down the treble". That's
kinda true, but there is a lot of nuance that that statement misses.