A 15 amp circuit usually only has 14 gauge wire in the wall. However, this wire is generally solid copper and of good quality (not audiophile copper, but of good current capacity). Most IEC cords are smaller than 14 ga. Even a 14 ga cord adds several more feet of losses. Something non-intuitive is that losses are additive. If you have 100' of 14 ga wire and 100' of 12 gauge wire, it doesn't matter what order they are in, the current delivered to the component is approximately the same so putting a 10 ga power cord downstream of 14 ga wire does make sense.
And finally, the answer to your first question is yes. Many of us upgrade the power circuit to our audio system. I have a 10 ga circuit run from the breaker box to my system.
Jerry