Haha, this is a tricky question, but an interesting one.
My short answer is: yes, it does make a difference.
A CPU with strong IPC, across similar speeds with other CPUs, will indeed net you more FPS with a GPU using 100% processing at a given resolution.
Why? Because speed becomes less relevant. If the CPU can keep the GPU fed for a certain resolution, giving it more speed won't make the GPU consume/process frames any faster, but it will have room for other stuff to be done at any given speed. There's clearly a "baselined" speed to have depending on the uArch, but past that umbral speed, the frames won't increase and only IPC will help squeeze a bit more FPS'es. This may sound counter-intuitive, but the proof is in the pudding*. Compare AMD's FX line to any Core i family member across the board. FX does not get as many FPS'es per % clock increase as the Core i uArchs.
Cheers!