Re question 1: Assuming the house was wired properly, the only constraint for what is connected to a 15 amp branch served by a 15 amp breaker is that the total current drawn by all devices that are plugged into all outlets on that branch, and all devices such as overhead light fixtures that may be wired to that branch directly, should be less than 15 amps. So, yes, if you plug additional components into the other outlet the power that would be available to the strip would be reduced correspondingly.
Re question 2: The current drawn through the component power cord is determined by the internal design of that component, with minor variation depending on the exact line voltage. As long as the house wiring and the power cord are of sufficient gauge to conduct that amount of current, meaning that they have low enough resistance to prevent significant voltage drop in the wiring and power cord themselves, there will be no difference in the power supplied to the component either way. If some listeners are able to perceive a slight sonic difference between the two cords, it will not be because of the difference in gauge (provided, as I say, that the gauges of both the house wiring and the power cord are adequate for the current draw of the component(s)).
Regards,
-- Al
Re question 2: The current drawn through the component power cord is determined by the internal design of that component, with minor variation depending on the exact line voltage. As long as the house wiring and the power cord are of sufficient gauge to conduct that amount of current, meaning that they have low enough resistance to prevent significant voltage drop in the wiring and power cord themselves, there will be no difference in the power supplied to the component either way. If some listeners are able to perceive a slight sonic difference between the two cords, it will not be because of the difference in gauge (provided, as I say, that the gauges of both the house wiring and the power cord are adequate for the current draw of the component(s)).
Regards,
-- Al