Can Can GT3 "respond" similarly with R6s and NT01s?

[rceron]

Use both tires on a 996-GT3. My question is not whether I can achieve similar grip levels, but whether I can get these tires to behave similarly (e.g., feel, reaction/transition speed, etc) but at different grip levels? Basically, I love the feedback, sharpness, limited roll of my car with R6s. Note, I have triple adj Motons. I got my car setup decently for R6s and I occassionally like to use the NT01s. However, because of the softer sidewalls (presumably) I can't get the car to react as quick as I would like even when I adjust high speed and low speed compression. I also really can't stand the sensation of "roll" with the NT01s vs the R6s. Is the answer that I need to change canister pressures and swaybars as well or is the answer that I will never achieve the same "feel" and precise reaction between the two tires? Just want to know if I'm wasting my time.

Ramon