Back on track while I know it's not a Porsche it's just to remember that the problem could be bushes in some cases.
On my E46 M3 it was always a little nervous over the white lines, even the previous owner mentioned this. I always thought this was down to the front tyres. They had worn very badly due to poor geometry at some point in its life which was then corrected when the damage was done. It had Falken FK452s on the front that had worn strangely and FK453s on the rear which had worn well to be fair.
When it went in for the airbag recall BMW kindly told me that my tyres were pretty close to being changed. While I knew this it is painful when you know that even a mid range tyre is around £150 a corner.
In order I did this:
-Changed the rears to PS4s ; it was quieter, smoother and grip alot better on the back to the extent the front actually began to understeer in a few cases. But there was no difference.
-BMW E46s are known for subframe mounts cracking. I had these reinforced and had Poly subframe bushes fitted courtesy of SuperPro/Flex.
WOW - it felt different even leaving the shop. The motorway trip down to the shop was twitchy! The journey back was far from it. It literally glid down the road irrespective of the white lines. Sure the front end now really didn't feel that connected but the car for the first time ever felt spot on. I will admit the poly bushes do transfer sligthly more noise in some parts but overall it's a huge improvement ; alot of E46s I've driven since feel 'loose' on the rear.
-Going to MPS4Ss up front just improved things that little more ; the front end now has regained its front end bite with it feeling the nicest it ever has.
What's the moral of the story? It's not always the tyres

. But tyres can wear to bad or moving geometry which can also cause issues.