Fix a flat and those rope style patch kits effectively ruin the tire, more so the fixaflat. It seals the flat to some degree by attacking and swelling the rubber, so the rubber blocks the hole. It softens the rubber in the whole tire, not just by the hole. Once its in there, the damage is done, taking it out won't help.
Rope style when you jam that metal thing in and out of the hole you are damaging the steel belts, that speaks for itself.
These types of tire repair are fine for everyday use, but high performance use would be, in my eyes, questionable.
Best idea to keep the tire useful is to have the tire taken off the rim and patched from the inside so there is no damage to the belts or the rubber. then there is no softening of the rubber and the steel belts stay intact.
2007 Exige S, LSD - Sold