Not sure what that means. current is present in every part of the circuit. Power is dissipated across any resistive element.
Yes. Agreed, Current and power are "happening" everywhere in the circuit. Not sure if that makes it clearer. Power is the input, current the result depending on resistance, as is the heat. Current = Heat?
Current AND voltage determine power. P= V * I.
Yes. Agreed. I was talking about heat/energy as in Joules, not power. I know, Watt = Joules/second. But it's not Joules right?
Other way; voltage and resistance determine the current through a circuit. You apply a voltage to a resistor, and current is what results. You can change either of these two to increase current. If you are only changing voltage, then that is changing current as well.
With a FIXED resistance, higher voltage == higher current == higher power. But what you are adjusting is the voltage output. current and wattage are not the cause, they are the effect.
I'm honestly not sure how that is the other way from what I said. "higher voltage == higher current == higher power". Absolutely right. That doesn't explain though why it is power that's responsible for heat and not current.