If you were heating your house with room temperature air, I totally agree. But I think because you're heating air to well above the target temperature, you're losing a lot of efficiency.
OK, one more time.
The only reason you run your furnace is to replace the heat that is lost to the outside. The greater the temperature difference inside to outside, the more heat you lose. It doesn't matter if it's the inside air temperature, the wall temperature, or what you're cooking in the oven. Temperature differential determines how much heat you lose.
You can try and make it more complicated by bringing in factors like insulation and glass area, but they only affect the amount of heat saved or lost at a given temperature differential. Their efficiency factor is fixed. It's temperature differential that rules.
tanstaafl.
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