I always wondered why nobody ever developed a dish heater. Mine is on the roof, but I can reach it from an upper deck off my master bathroom. I have had it ice up many times here on the mountain in SE Tennessee, but I can deice it using a hair dryer duct taped onto a broomstick.....necessity is the mother of invention, after all.....
Well, there's always more than one way to skin a cat, but this is the first thing that comes to mind: The conductive wires or water plumbing typically associated with heaters would interfere with with the EM signal-collecting poperties of the dish.
It sure does fire up the engineering imagination to how this could be done, though! Good idea.
When my dish was mounted way up on the side of the house, I tried all sorts of contraptions to get it de-iced too. It took forever to get it cleared off. Finally, I had enough of that and installed the pole on the ground.