After the recent storms my parents were without power for 4 days. (They live 10 minutes drive from Buxton, a rural area but not in the middle of nowhere) Luckily they have a wood burner, gas bottles for their hob and lots of head torches!
They would have survived without the wood burner, but been a lot colder and less happy!
I had many friends who were without power for 2 or 3 days, and one family from our school who had none for 7 days (they live in Miller's dale - not somewhere very remote) and it did make me think that actually having some means to keep warm and lit separate from the national grid is probably a good idea......
Not sure about wood burners in cities though - that is a whole different issue that I don't know enough about.
I suspect if the 6 or 7 days 25,000 houses went without power recently had been in the South East there would have been a lot more fuss and help provided.....