That's crazy. Do modern cores not also use local, integrated power regulation? I think I remember an Intel PR release about that, but I don't know the detail.
standard Vcc for 28nm is 850-1050mV (varies based on the exact process)
so yeah more like 100A and probably that's all going through the pins without on die power regulation
Consider that the VRM's have as much or more silicon in them than in the host processor, and they have completely different breakdown voltage and switching speed requirements relative to a CPU.