I use a .01 with my J bass wired standard, and I notice the same "action" in the tone that you described. I like the tone, though, and don't feel like I'm missing anything.
There's more than one way to electrically bring in the tone control network on a Fender. I think you could try to re-wire the volume so that the tone pot is coming off the output leg, rather than the input leg. See if that makes a diff in the "action" of the tone control.
There's more than one way to electrically bring in the tone control network on a Fender. I think you could try to re-wire the volume so that the tone pot is coming off the output leg, rather than the input leg. See if that makes a diff in the "action" of the tone control.