I have lived and worked in the Frazier Valley in Colorado through two winters as a ski patroller in the mid-1990s when January nights would touch -40°.
If you find joy in the challenge, and if your life allows for the extra ~40 minutes a day, go for it! Even on long days of working outside, I enjoyed the relaxing walk. It also minimized the wear and tear on my old 4wd vehicle.
For me, there is some magic in walking that helps both mentally and physically. Even in harsh conditions, walking has an antidepressant effect on me. (As does cycling) The effect is most pronounced if I do not listen to music, news, or audiobook for the first 10-15 minutes.
Finally, if you are trying to get a little leaner, good cold exposure can help ramp up the metabolism early in the day. Just watch out for the boomerang effect in the warmer spring months!