Power cord effect on turntables

I have a VPI Scoutmaster that is plugged into a Walker Precision Motor Controller. I am using the stock power cables and the Walker is plugged directly into the wall which is on a dedicated circuit with its own ground. I am getting a Shunyata Hydra 8 V2 and I will then plug the Walker into that. My question is, does it matter if I upgrade the power cords on the Walker or the VPI? It would seem to me that since the Walker is precisely regulating the speed and the motor on the VPI is detached, that it shouldn't make a difference. Does anyone with more experience with this have any advice?