You think you are being a smartass but that’s exactly what heat pumps do. The only functionality difference between an AC unit and a heat pump is a reversing valve.
But without a reversing valve you could put your AC unit in backwards and heat your house in the winter.
The whole premise of an AC unit is to take the heat from inside the house and put it outside, leaving you with cooler air inside.
So in the winter a heat pump simply reverses the flow of the freon and moves the heat from outside to inside. Yes. You are “cooling the whole neighborhood” when you run a heat pump.