I had a good experience with RE71's on my S2000. Multiple hot lapping days with 20+ laps per day, plus some autoslalom.
I ran them for 2 seasons, probably 150-ish laps on the old Gimli surface and a dozen or so autoslalom events.
Now the car was rarely street driven other than driving to and from events and it's a fairly light car to begin with so your mileage might vary. They did not like the heat as much as I would have liked, which I imagine would only get worse on a heavier car. They had about 5-7 laps in them before they needed to cool off.
I switched to Maxxis VR-1's and liked how those handled heat. Good amounts of grip when hot but they really lacked the cold bite the RE71's had, not sure I'd recommend them for autoslalom. I think you'll end up needing to make a compromise as I've yet to see a tire that excels at both autoslalom and track driving.