Using the PCM-based traction control system is robbing you of acceleration / speed as it tries to keep a wheel that has already started to spin - to stop. The PCM has to detect individual wheel speed first - then react by applying that set of brakes.
Note also that the ESP Off button never remove all traction restrictions; what remains still(!) prevents peg-legging, which would be an indicator you really do have more torque that overcomes tire traction. One way to overcome this is by installing a simple SPST switch into the B+ side of the Dynamic Sense module that resides under the console - just behind the shift mechanism (on the vehicle's CoG). Or, an aftermarket device that does precisely the same thing.
Only after you've properly negated traction control will you have a handle on whether you need a limited slip differential to prevent peg-legging...
Edit: no, the Getrag discs, plates and bell washers that apply the pressure / friction to reduce peg-legging are the same throughout. However, a replacement set that are spec'd for the Chevrolet version do offer more pressure / friction before breakaway.
Note: do not use friction modifier if you're interested in preserving that level of limited slip system friction. All the modifier is there for is to silence folks with dainty hearts and minds out there who hear chattering while turning tightly at slow speeds - which is causing the discs / plates to release-grab-release as the outside wheel travels a greater distance. The problem is - the friction modifier is allowing the assemblies to keep sliding against each other - once sliding starts (note; there is zero damage without the modifier).
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