My R6 had a stage 1 jet kit put in by a pro tuner when it was new - the pile of documentation with the bike had receipts. I had the bike dyno'ed as below. 100hp peak is good for a gen1, later gens could get up to 120 IIRC. In that sense I suppose the gsxs might be a "fat" 600, but that is a <lot> more power and torque than a gen1 r6.
The "push under" that the gsxs likes is the opposite of the pivot steer method aka K.Code's ToTW material; where you push the outside peg while pushing the inside clipon- helps keep the bike upright and your weight inside. The R6 responded quite well to that. Paradoxically, the Bandit did too in a limited way- I lowsided it at one point and broke the rearset so fabbed up some fittings to mount ebay salvage Hayabusa rearsets which moved the foot position back a bit, and that made it possible to put weight on the outside peg more easily than on the gsxs.
The gsxs likes to lean under, in the manner of a quick swerve to avoid something in the road; so the game for me is to change how weight is projected to the inside, so as to keep the bike more upright.
I've sniffed around a bit for adjustable rearsets for the gsxs, to move the foot position back a bit, but good ones cost and I'm not really a fast enough or good enough rider for it to really pay off.