Physics: You always have the same memory bandwidth. The longer the context, the more bits will need to pass through the same pipe. Context is cumulative.
I seriously doubt it's the throughput of memory during inference that's the bottleneck here.
(A memory-bound workload like token gen wouldn't usually run into the CPU's thermal or power limits, so there would be little or no gain from offloading work to the iGPU/NPU in that phase.)