+1 I find Pirellis supercorsa sc to be a very good tire on the track. Excellent traction, a lot of feedback compared to my old mich and dunlops. I (personally) found michelin to be a lot like a light switch, plenty of traction till there isn't any, no warning.... traction vanishes. Could be my riding style to blame as well, I tend to force the bike into turns with hard late breaking if I'm side-by-side with someone vs the more gentle turn setup using smooth trail breaking and throttle. But that's racing, if you want to win, you have to push and the tires need to tell you when they are pushed too hard. Didn't get that from Mich.That is your opinion.
Personally I ride on Pirellis and think dot race tire is as good as slick if not better.
And I don't love bridgestones. Rode on 165 slick just couple weeks ago and did not like it at all.
Dunlops just let go on me randomly... wasn't a good experience.
I'm using corsa sc Front = 120/70 r17 sc 2 @ 28-29 psi off warmers, Back = 160/60 r17 sc1 @ 26-28psi off warmers
As for speed... Well... that's the tricky bit. Almost anything will work fine in a straight line. If you find you're not getting good feedback or you're having a hard time locking the tire down to the track on a turn it's either you (the rider) or the tire just isn't a good fit for you. I took a friends r6 around our track on mich 2cts and it was squirming in slow speed sweeping turns, I was pushing a race pace the tire wasn't built for. However, he didn't have any complaints...
Also, fresh tires are important, heat cycles and general track wear effect tires even if they have plenty of tread left. If you get serious scrubbing and balling on the tire, don't expect to have new tire traction after 2 races or 4 track days.
Best to do a lot of research, tires are not a one size fit all solution, it's best to arm yourself with understanding and advice from people with on track experience with SV's before forking over $$$ to a season's tire budget.
General rule of thumb, street tires will only go so far, if you really want to go fast, get tires that fit the purpose.