I believe the C5Z rides lower than at least the regular C6 does, comparing our two. Even an inch lower and I would have real problems with some public area driveways. Heck, there is a really nice restaurant we like to go to (The Wharf) where if I'm not careful I will bottom the car out with the hump they have in the driveway off the main drag. I have to come in at an angle or I get a scrape when the car high centers.
Lowering? Not if I plan to drive it anywhere. It really looks good, but public roadways and commercial establishments are already pretty Corvette unfriendly when it comes to road smoothness.
Now, what we REALLY need are the kind of shocks where we can control ride height with a dial inside the car attached to a compressor that raises or lowers the four corners.