This is the simplest way I know to think of the whole volts, ohms, watts thing.
Voltage is electrical power produced by you PV battery.
Ohms is simply a measure of resistance. While the coil of an atty, tank, carto, etc is an ok conductor of that electrical power, every conductor produces an amount of resistance (measured in ohms) The higher the ohm, the higher the resistance, hence lower wattage, and less heat from the coil. The lower the ohm, the lower the resistance, hence the higher the wattage.
Wattage is the end result of your PV's electrical power after passing through the resistance of your atty, tank, carto, etc. If you have a particular ohm coil, but want more heat from your coil, your only choice is to increase the voltage. If you have a VW device, it will do this for you. It's like telling your PV, "ok PV I want this much heat from my coil, and I don't care what voltage you have to use to make it happen."
Another way to think about it is to compare it to horse power vs brake horse power (stay with me here).
Horse power = power your engine creates
Brake horse power= the power you get after drag from an engine's drive train
In this example the PV battery is your engine, the atty, tank, etc is your drive train, and the wattage produced is the braking horse power.
I don't know if that helped or made it worse, but I hope it helped.