In your understanding, the theory says that there will be a 3dB gain from doubling power but there is FAR more to the theory of power than gets thrown around on forums. Theory states that energy in equals energy out. Much of that energy will be lost as heat though.
You're not understanding me. The power that is measured on a purely resistive load is the power the sub will see. Period.
Will the sub act like a resistive load? HELL NO! Why? Because it's not purely resistive! When the sub moves and pressurizes the cabin, there will capacitance and inductance involved. This will cause rises and drops in voltage and current. When you measure the voltage and current, you will see this and it will appear to be actual power but it is NOT. The sub is still seeing the same power that would be given into the purely resistive load.
by what you just said, there is no way to test real power in car, because you'd have to figure out the inductance and and capacitance going on...
which is why we test with voltamps because its the easiest way to do it and have a comparable scale to go with