I don’t think the band matters that much. The spec sheet is much more important than the brand imo, the efficiency at low temperature in particular.
Another thing: having good insulation is really important to fully appreciate heat pumps. My house is a new construction and very well insulated and that’s why I could get away with such a small heat pump.
I would top off with this advise: don’t stress too much about the first distro you pick. It will likely not be the right for you anyway. You don’t know what you like yet…
You’ll learn a lot about Linux along the way and eventually you know what you like and don’t like, therefore choosing the right distro for you at your second attempt.
That being said, I don’t recommend Arch Linux for the first timers haha