Your analogy is flawed: let me fix it for you. "I invented a battery powered coffee machine which works using 10000 times less power: it works by deferring the actual coffee making to another machine you plug into a wall socket. Now you can stop worrying about recharging the battery on the first coffee machine, and still enjoy your coffee just like before!"

With WiFi, the advantage is that battery powered devices like your smartphone will consume less energy. Sure, your router will draw more power from the wall socket, but you are effectively reducing power consumption where you actually are using WiFi the most, mobile devices that run on batteries.

Ty for the analogy, wasn't sure if I really figured what they were saying in the paper

It's funny when you put it like that, but that's how coffee was made for a long, long time. No electricity is actually needed, just a source of heat.

https://en.wikipedia.org/wiki/Coffee_percolator

https://en.wikipedia.org/wiki/French_press

https://en.wikipedia.org/wiki/Vacuum_coffee_maker

Yeah but can it fill your cup from the next room?

Depends on the velocity.

Maybe a coffeemaker that uses way less power, but it gets the hot water from another source.

The coffee maker still makes coffee, but it doesn't do the expensive heating of water.

I connected all the office coffee machines using a hot water tube, use just one to heat the water and distribute this to the others. Now I reduced energy consumption of almost all coffee machines 10,000 times, also I removed their water heaters to make them much lighter and cheaper. And still everyone here can enjoy (almost) as fresh and convenient coffee in every room, as the machines are still close to us.

Hey I invented a one bit compressor, which consist of the file.