You are correct. I owned a 04 Z06 a few years ago. It was the same way. I called it my Dr Jeckel & Mr. Hyde car. The 5.0 is much the same way. However with the mt82s gearing & a 3.73 it is hard to just "putt" around in it. I find myself shifting ak 4k all the time. They truly are cool cars.
2013 GT premium, Deep impact blue, Recaros, Manual, 3.73, Gt500 mufflers, Barton shifter, Steeda 91 tune, Pilot Sport A/S 3