Things like physics, networking, input, etc. are done by the CPU. So when there are a lot of players on your screen you got a lot of things like movement network packets coming in and physics calculations for them. Nvidia cards with PhysX can offload some of the physics calculations to the GPU (really a separate physics processing unit [PPU]) if the game is optimized correctly. AMD/ATI cards still have to use the CPU for physics calculations. There is still some interaction between the CPU and the GPU and when the CPU is busy doing the other stuff is when you bottleneck.
OP, the two processors rank at 5,662 and 8,789 marks on the high end cpu list (
http://www.cpubenchmark.net/high_end_cpus.html), so the CPU you're looking at is about 1.5x faster. If you're doing a lot of stuff in the background of your game it might be bottlenecking.