Sorry to burst your calculations expectations but the tone cap does have an effect throughout the entire range of the tone pot. The cap is in series with the resistor/pot, so it is always part of the circuit and has an effect, regardless of the pots resistance. All you have to do is listen to the bass while turning the tone pot to its extremes; it is quite noticeable. If it had no effect, then I would not have noticed the change, which BTW, was significant. My problem with the bass, as stated above was I had too much high frequency roll off, even with the tone at maximum, so decreasing the capacitor value gave me less high frequency roll off at maximum tone(full Cw) The math below is backed by actual results; plus, your ears don't lie:
BTW Given T=RxC and 1/T=Freq
Example 250K (pot) x .022uf =.0055 seconds (T) 1/.0055= 182 Hertz, which is well withing the range of human hearing.
Recently, I added a tone control to my Herb Ellis ES-165, using a 500K audio taper pot and started out with a .015uF, which worked but I wanted more bass response so a .033uF was a better solution as it extended the range of the tone pot perfectly.
I like to select a capacitor value that gives good tone response throughout the range of the tone pot's rotation. If all the control is at one or the other extreme of the tone pots rotation, then you need to select a smaller, or larger cap to open up the effective range of the tone control.