Not Q2's, but I stuck some S20's on mine for the off-season with a 195/55 rear ... To ballpark it, I'd put it at about 1.5-2 TC settings more intrusive on new tires, meaning you notice the TC kicking in on level 3 with the 195/55 about like it would on level 4-5 with the stock tires...
With the 195/55 rear I run my TC now on 1 in race mode and 3 in sport mode.
Thanks for the reply Steve. Are you sure the S20 rear size was 195/55? I've looked for this size and it doesn't seem available. The 190/55 is the one I see commonly for the S20.
How did you like the S20's compared to the Q2's? I have regularly run the Bridgestone BT-003RS on the street and BT-003 D.O.T. on the track and like both, but never the S20. I also just loved the Q2's on a previous bike, extremely sticky in the mountains both dry and wet.