I’m having trouble seeing how a power cord could make a difference. After all, the stock cable should be capable of delivering the full mains power available to the amp, and the power supply on the amp is going to clean up any minor amount of interference that could possibly sneak in between the wall and the unit.I've seen a power cord cause a loss of about 40 watts on a 140 watt amp. It was easy to see why- there was a voltage drop across the cord. I measured it with regular Digital VoltMeter (DVM); its not rocket science.
By contrast, the romex in the wall of most houses is much better performance, being made of solid core copper. But this material is illegal for use as a power cord; so yes, that last 6 feet can make a difference.
Here is an additional issue, that I think will affect switching amps more than other types of amps. The voltage drop is not limited to 60 hz. The problem is that there is a power supply in the amp that is made of a transformer, rectifier(s) and filter caps. The rectifier converts the AC from the transformer to DC and the filter caps store that voltage for use by the amp. In-between peaks of the AC power waveform, the caps get discharged. The rectifiers only conduct when the cap voltage is lower than that of the transformer; if the caps are only slightly discharged (the normal state of affairs) then the time that the rectifiers turn on is very slight, perhaps a few milliseconds or even microseconds. At that time the current draw might be profound; if the power cord does not have the bandwidth, the pulses charging the caps will be current limited.
This can be bad for a switching amp, which needs a really clean power supply to sound right, even if they don't seem to be drawing much power from it at any given time. So its worth it to try a power cord that has greater bandwidth (which romex already has...).