I once put a switch on a bass to switch between 0.1 and 0.047 capacitors. Both were orange drop caps. I didn't notice any real difference between the 2.
As I understand it, the difference will mainly be in the amount you need to turn the pot to achieve a reduction in the treble with the filtering.
I guess if you were to attach an oscilloscope to the circuit, the difference in the waveform may be considerable, but IMHO, it's not a biggie.
That said, I mostly keep the tone wound right open. So if I built a bass I possibly wouldn't have a tone control at all. So maybe I'm not the person to ask.