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Are we talking Celsius or Fahrenheit? -20 F is pretty cold. I think the vast majority of people in North America never experience weather like that. For most areas, occasional supplemental heating by traditional electric heating should be sufficient and avoid the gas hookup issue. It’s not very efficient but only needing it a few times per winter that should be acceptable.
Celsius
It's not about being efficient. If it were just that, no problem, a few nights of expensive heat isn't going to change the equation much over a year. It's a matter of not freezing because there's no way it can keep up whether inefficient or not.
So if you're going to be spending 5k on a furnace anyway, and have to keep a gas bill active, it's just not going to save enough money to pay the heatpump back, especially since you're buying a particularly expensive model in order to have one that works at middle cold temperatures.
I think a powerful enough heater of any kind should keep your warm—so economics is the main question. Perhaps an electric heater that powerful would be too expensive or use too much power.
But regardless, it sounds like you live in an exceptionally cold climate so you may have challenges that the rest of us don’t. I haven’t really heard heat pumps recommended for arctic climates, mainly for temperate ones. My climate is borderline subtropical so I think it will be economical for me.