Different cars so possibly doesn't help, but I've got PS4 on my FD2 and AD08R on the NSX.
The PS4, while not squidgy, don't have quite the same sidewall stiffness as the Yokos, but with a small-enough sidewall (40-profile on the FD2) they're perfectly good enough in that regard - certainly as precise as any mainstream tyre I've tried. They also don't need to 'warm up' like the Yokos do to give their best. And of course, they'll be a huge improvement in standing water...
If I was taking my NSX on track semi-regularly, I'd go with the AD08Rs for the breadth of ability and extra outright grip they give. Otherwise if I'd got the choice (I'm on OE 16/17, so I don't), I wouldn't hesitate to go for PS4...running the AD's I'm always conscious of the weather when planning to go out in the NSX...light rain isn't a problem, a downpour could be...
"No man with a good car needs to be justified"
Blue '08 FD2 CTR - big, ITR-sized shoes to fill...
Yellow '96 NSX 3.0 - oh was it worth the wait!
Black '99 ITR - well, I had to have another one, the first was so much fun. Miss this one even more than #1...
Blue '03 S2000 - SOLD, flawed but fun
Blue '04 Focus TDCi Sport - SOLD, very good fun for a diesel!
Black '00 ITR - SOLD, still missed
Red '98 Civic VTi - SOLD, probably still bombproof