The real story here seems to me to be not that people burned their clothes to stay warm but that people in a place with fragile connections to the outside world had so little in the way of supplies to weather a relatively short period without food deliveries. I'm not blaming them, I assume that many of the affected people don't have the resources to keep a buffer stock.
From the article, the community has stockpiled resources, but their plows and skidsteers are all out of commission. They literally cannot get to the firewood, and every time they clear some snow out more blows in. Some people have been completely isolated in their homes for 8 days. I'd say most people, even in rural areas, don't have a supply that'll last longer than that, except for some hardcore preppers.
[1] https://www.google.com/maps/@46.5413445,22.4545999,3a,49y,10...