No; don't want a photo of your S car being hauled onto a flatbed with frozen tears on your cheeks?
If the car works in cold climate then prove it.
Why can't they just install a small generator operated by a squirrel on a treadmill for folks in the northern half of the United States? This wouldn't be a costly design change since there are millions of squirrels out there!
For $100K a pop, at the very least the navigation system should have a dedicated button showing you the location and phone number of the nearest tow service.