But, good news! EVs with 24/7 heat pumps keeping the batteries alive are a thing and work out pretty well in within-the-Arctic-circle locations such as Greenland, where previously "keep your diesel engine running at all times during winter to prevent the fuel from freezing" was the norm.
So, no, keeping the planet alive and getting to the Supermarket or your Job or your Dying Grandparents are not necessarily mutually exclusive, even in cold climates! Exclusions apply, not everyone may qualify for the technological advances mentioned, see dealer for details.