RE: Amperage question.
The main thing is that the R/C system only reaches that high of amperage for short bursts and only runs for the length of the battery life. Despite this, in high draw applications the wires often get very hot. So hot sometimes that connectors melt, wire insulation melts, solder joints come undone, etc.
In your home the current can be sustained for hours on end during periods of high use (not to mention the wires are in walls, insulation, conduit, etc. and heat cannot escape). While a 10AWG wire might carry the current temporarily, you wouldn't want the wires in your house getting hot under any circumstances.