It's an unusual problem for a production car, but it's a good one to have--too much grip is just enough.
Part of the cause also comes down to the Brembo carbon ceramic brakes, which provide tremendous stopping power for the large but track-worthy Z/28. But regardless of the cause, Chevy had to find a fix for the tire-on-wheel slippage issue.
If Chevy hadn't found a solution to the problem, it could have resulted in the wheel/tire package going out of balance--like the wheels they're mounted on, tires aren't perfectly uniform around their circumference. That's why the wheel/tire package is balanced as a unit.
Typically, Chevy says the tire-wheel slippage issue is solved through the use of an abrasive paint along the bead of the wheel, where the tire seats. The Z/28 team tried this, and found it wasn't enough to prevent the problem.
So they took it to the next level, using a racing solution: they media-blasted the rim of each wheel. That finally produced enough friction to keep the Z/28 from spinning the rubber around the metal.
Like the Flowtie, and the Flying Car Mode, this is just another small but significant piece of engineering that makes us appreciate the Z/28 that much more.