I think I may be able to shed a little light on why there's such a variance between your experience and that of some other folks.
The NT05 is a square shouldered and much stiffer sidewall tire. Star Specs, NT05s, anything with a stiff and square sidewall seems to do alright at the minimum recommended rim size (9" is min for the 275/35/18 tire). The PSS does not. It seems to need to run in the middle of the rim width range.
I ran the PSS's 275 on a 9" and 245s on an 8" wheel on the wife's car and they were horrible. The tire "crowned" and only the center was providing a contact patch (confirmed via pyrometer). Man were they bad on the road or on the track--pushing at the front and no rear traction! Just as you described.
But, I put the same PSS tires on a 9" front and 9.5" rear wheel, bang, very sticky! I can't compare them to PS2s, but compared to themselves it was like a different tire.
For the price, the NT05 is a good summer tire. The PSS is a great rain tire as well, and the NT05 is not. If you don't have need of that capability, the NT05, Direzza II, and a few others may be a better deal price-wise.
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