Even in a variable load for any giving point in that load if you increase the voltage for that given point the current will rise to. A variable motor loads gets tricky determining battery life and ESC capacity.

I just want to nail this concept down - if you increase voltage to a load the current will increase. It doesn't matter if you use power or current as everything is related in the formulas given. They are not separate stand alone entities. Change one value the other will change. You cannot have current flow without having power being dissapated through a resistance. Power is related to the voltage times current drawn. In addition every component also has capacity and inductive values present.

Look at the chart.

John