Earlier quoted context omitted.
Resistive heaters use energy to create heat. Heat pumps use energy to move heat. For a resistive heater, its taking 1 energy unit from the wall and putting 1 energy unit into the air. A heat pump will use one unit of energy from the wall to take 3-5 units of energy from one side of the system and dump that 3-5 units of energy to the other side of the system.
I see. Heat pumps must move existing heat from somewhere though. Won't those come from burning fuels? I have a lot of solar panels in my home. I'm generating more energy than I'm using. I don't consider efficiency to be a significant concern at the moment.
I also produce a surplus and I sell it (for more than the local utility charges to boot). More efficiency is more money in my pocket, is it not for you?