Changing temperatures by 5 degrees is such a colossal amount of energy that it isn't practical

They're not creating the heat, they're just moving it from once place to another. All it requires is changing the direction of the wind. All that requires is heating the upper atmosphere. All that requires is a radio transmitter site that fits inside 10 acres, which all only requires 1M to 10M watts.

Your fridge doesn't work nearly as well open

Yet, when I do, the floor will be colder because of it.

as it does closed

It's actually the average density of the interior of the space. Air itself is a shitty conductor of heat, and with low moisture, does not retain it.