I would have to use one to determine it, but I think that it just as stricter conditions needed to hit the 1.2ghz mark. Outside of a benchmark designed to push the system, nothing out today really needs dual 1.2ghz. High-end games utilize the GPU more than the CPU.
I'd have to question where you heard that the games are slower on the 9100G than the 9100. I own both the 9100 and a Kindle Fire (same specs as 9100G but higher res screen). Most games I've played seem to fare a little better on the Fire. I suspect that this is because games fall into two categories; low-resource games will run great on both whereas high-resource games will tax the GPU. The GPUs in OMAP4 and Exynos 4 are like night and day. The Mali 400 (Exynos) has a significantly higher fill-rate while the PowerVR SGX540 (OMAP4) has a higher geometric throughput. Games that make use of high polygon counts will favor the OMAP whereas games run in high resolution and/or obscenely higher texture counts will make better use of Exynos. There's no point in making a game run at a resolution significantly higher than the phone's screen, so while the Mali scores better on benchmarks, I'm seeing the opposite in real games. The PowerVR is just better suited to today's mobile games.
Like you, I would prefer to keep my i9100 over anything else today. But I'm not going to lie, I do wish Samsung had stuck with PowerVR for the GPU. I want smoother games, not smoother benchmarks