dry yeah, however wet and nvh ps3 is better, so most people would prefer ps3 as a good all rounder.
directional is actually better for the most part except for nvh purposes.
if you haven't realized, the huge majority of extreme tires, semi slicks are pretty much directional. with only few exceptions such as bridgestone and michelin taking a different approach going asymmetric, and utilizes superior compound to offset the minor disadvantage of being asymmetrical (although that itself has numerous advantages over directional, mainly on inner/outer compound/tread designs)
i mean, if large shoulder blocks is what you're after, S drive have really huge ones as opposed to the smaller ones on ps3, with grooves in between and within the blocks, on 1 side only no less:


so just by shoulder blocks alone, you can tell which will have an advantage.
However with damn thick (and most likely stiff) shoulder blocks, almost semi slick looking, your biggest drawback will be nvh.
as for s drive pricing, if you're talking about 15" sizes, it's about c drive 2 price thanks to YHI's recent promotion on Yokohama S drive.
need i say more?

Yeah I suppose Michelin or other Asy tires can be superior partly also by using different compounds for outside compared to inside, hence you get good performance/grip while maintaining lower noise level. I'm using F1-D5 now and when new it's just a little noisy but now after 40+k km it's even more noisy. Grip is good though, both dry & wet. Maybe next tire change I'll consider this S-Drive as well since it's among the few UHP that has the odd sizes I want (225/50/17 & 245/45/17) provided it's still available with attractive prices.