I have RS3's on my S2000 and have for a while now. Fantastic dry grip when they're warmed up but then wet grip is abysmal...I actively avoid driving that car in the rain partially because of that.
Best Tires for Honda S2000
I run 255/40-17 tires on all four corners of my Honda S2000 track day car. I wanted to be able to use those on the R, so I had Adaptec make custom adapters: 15mm thick in front, 25mm thick for the rear. On them I have a set of Hankook RS-3s 255/40-17, a set of Nitto NT01s (same size) and a set of BFG Comp 2 A/S 245/45-17 (my all season go anywhere tires used on the R as a daily driver). I am at stock ride height and none of these tires ever rub.
Had a set on my s2000 and liked them too. Very good rubber for the money. Predictable, good wet grip, not incredibly noisy either. They also held up well right until I cooked the rears off below the wear bars.
I can only speak re: the PS2's. Had them on my S2000 for track duty. Unbelievable grip once their hot. Key point here. They're risky as daily drivers, and use caution about driving in the rain - it's like ice. If they're cold (like anytime their not warmed by a few yellow-laps), they are slick. Pardon if I didn't read all of your question, if you want the most adhesive track tire out there, go for it. I did use them as daily drivers, they were fine, but could bite you.
On my S2000, about 2 weeks ago had brand new Dunlop Direzza Z1 Star Specs installed by a local garage. A few days later, the driver's side rear tires was extremely low on air pressure, that I noticed after the car was pulling to one side during acceleration/letting off the gas pedal.
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