That sounds better, but it still throws a lot of thermodynamic theory out the window.
When it's cold outside, and you want to heat inside, you want to use indoors as the heatsink. Even if it's -20 outside and +20C inside, you can still heat the inside by removing heat from something +10C and making it -20C.
If you put liquid water into your electric freezer, a fridge pumps heat OUT of the water to freeze it and exhausts it indoors. A net benefit.
While the heat tube system moves the heat from the water outside when you really want to move that enthalpy into the home. But it instead moves that heat outside. That's bad when you're trying to heat inside. It's just throwing away energy.
I'm curious how the real world numbers work out here. Assuming that you're using electric heat to heat the house, I get that a traditional fridge is better than venting heat outside.
But, if you have a ground source heat pump as your home's heat (sourcing from 45° ground temps) - wouldn't it be more efficient to use the outside air as a source for a fridge?
The ground source heat pump works exactly the same as the fridge does. And the fridge is extracting heat from an approx. 40F heat source. So not much of a difference. The ground source heat pump will be pretty efficient if it's hitting deep and wet soil to get a good heat exchange.
But if we're comparing to resistive heating, an air-source heat pump near/below freezing points, propane or even natural gas, the economics move in favour of the electric fridge.
When it's cold outside, and you want to heat inside, you want to use indoors as the heatsink. Even if it's -20 outside and +20C inside, you can still heat the inside by removing heat from something +10C and making it -20C.
If you put liquid water into your electric freezer, a fridge pumps heat OUT of the water to freeze it and exhausts it indoors. A net benefit.
While the heat tube system moves the heat from the water outside when you really want to move that enthalpy into the home. But it instead moves that heat outside. That's bad when you're trying to heat inside. It's just throwing away energy.