Do I need 10 gauge power cord if I have 10 gauge from panel?

I found this an interesting thread. Has anyone else besides me looked in their power amps to see what was the size of the power cable to the on off switch? On my Conrad Johnson Premier 4 it appeared to be #14 wire. The wire to the power transformer was the same. Seems to me if this superlative amp can hit instantaneous crescendos without those puny 14 gauge wires acting as fuses, then perhaps we have an incomplete understanding of the physics/science. I have 12 gauge wire feeding my power and pre-amp both. It has met my standards for excellent sound. 

I suspect the next trick in the evolution of the power cable argument is to cryogenically cool the cables, so they become superconducting. This should separate the physicists from the crowd. Not practical you say? Then the next best thing is to direct wire the power feed to the amps power switch to eliminate any resistance inherent in having a receptacle. Once your amp is open you may observe what gauge wire the factory thought was justified by their engineering staff. I'd be surprised if it was more than 14-gauge wire. 12 gauge would be overkill. Since the concern is really power density, rather than thinking in terms of resistance of the circuit, I would think it would be more appropriate to think in terms of conductance. Since I'm old school the units would be Mhos. Current teaching is Siemans as units.