Maybe Brian knows if there is a resistor change, to increase the distortion at middle settings on DIST pot
Pots don't work like that. Pots simply are a variable resistor. You seem to imply a "resistor within a resistor" which really isn't feasible.
Funny, the one thing that would get you closest to what you want is the thing you don't want to do.

Either try a different value pot, or maybe a same value with an Audio taper. It wouldn't require a cap change.
I'm not trying to be snarky, just being honest.
Good luck!