It is all relative.
If you remove the bar, the car will handle better to some degree. Removing the bar allows the left and right LCA to move more independently from each other. This helps optimize tire contact patch when one side of the car needs more tire, it can grab a small bit more than compared to being limited by movement with the sway bar attached.
But, as mentioned before, tire wear will be all over the place since the wheel and tire can travel more freely. That and braking and acceleration will be negatively affected since the two tires will not be moving in quite the same way as when connected with a sway bar. Since you are on a track, that can be easily taken into account with stiffer suspension parts. Bushings, springs, dampers, etc...
The G20 is totally different then the B13/B14/B15 front suspension so removing the front sway bar on that chassis is a different story. The suspension does not allow the wheel to move all over the place like a strut-based suspension can promote.
Lastly, there are three trims in the US region for the B14 chassis. Base model, SE model, and the SE-R model. The base model does not offer a front sway bar. The SE and the SE-R models do offer the front sway bar as standard. I owned a B14 base model with the GA16DE and I strongly believe that the base model B14 handled better than my B14 SE-R for the simple reason that there was no sway bar. The B14 SE-R defintely felt a HELL of a lot stronger of a car and the wheel was more responsive than the base model. The car made no power comparatively so I did not have to worry about things the 2.0 L engine introduced.
With a front-engine, front-drive car, the rear end is stiffened to help eliminate understeer / promote oversteer.