Processors are always bottlenecked by memory, especially memory that is off die, there are two things that determine the bottleneck but they are both independent of eachother; Latency and Bandwidth.
It is the reason why CPU's have a large amount of die dedicated to prediction and caching.
When a processor is bottlenecked by latency, many of its clock cycles will go to waste, regardless of the bandwidth there is between the Processor and the memory cells, its a matter of speed and capacity. A processor can't perform work, when it has no data to crunch, even if it can be sent gigs of data at a time.
so with lower latency memory, the processor can do more work in the same amount of time, etc.
You mean to say on a video card, general purpose CPU does not usually matter so much, if you reduce the speed of the RAM in your PC by 50% i bet you would struggle to see any performance difference.