The age-old question, "Why make PC's any bigger gauge than what's in the wall?" has a very simple answer: 'energy transfer' I'll explain:
When you plug your whatever into a wall receptacle, you are basically hooking it up (in parallel with other devices plugged into that same 'branch' circuit) across two buss wires (hot and neutral) coming from the panel. Think of this buss (usually a long length of Rom-ex in the wall) as a reservoir of water that under most conditions can never be emptied. Think of the power cord as a pair of tubes (hot conductor and neutral conductor) that you stick into this reservoir. Now water can flow (current) into one conductor, through the whatever, and back out the other conductor (and this process reverses 60 times a second because the current alternates.)
If the water is flowing through an amplifier, it's doing quite a bit of work, but in just a sixtieth of a second, it has to get back to the reservoir and then reverse direction! Sounds like an electron traffic jam waiting to turn into gridlock! To insure this doesn't occur, you provide many many lanes (or in this case, large conductors) and you lay them out so drivers aren't blinded by oncoming headlights (inductance and capacitance) slowing things down unnecessarily ;-) Simply put, the energy transfer requirements, back and forth between the device and the reservoir, are quite different in nature than what it takes to keep the reservoir full.
At the risk of starting an ecclesiastical controversy (which I hope will not occur), I must respectfully but completely disagree, because as an electrical engineer I believe the quoted perspective would be severely misleading to the original poster and to others who may read this.
Simply put, there is no basis whatsoever in science or engineering for viewing the ac outlet as a point of demarcation between a reservoir, and a set of tubes or whatever that draws water (or in this case current and power) from the reservoir.
The wiring system is just that, a system. Energy is being transferred back and forth at a 60Hz frequency through the house wiring just as much as through the power cord. Increased resistance in the house wiring, due to smaller gauge or greater length, will produce a voltage loss just as readily as in the power cord. And in fact most likely to an even greater degree (since the combined current draws of multiple devices are likely to be flowing through it, rather than the current draw of just one device, and voltage drop equals current times resistance).
As I said earlier, there may be subtle reasons why subtle sonic differences may result when 10 gauge power cords are hooked into 12 gauge house wiring, but the differences are not due to the gauge per se.
Regards,
-- Al