I was born into burning wood. My parents only had window air and a wood stove for temperature control until I was in school. Then my dad installed a wood furnace, and later central air. I learned to back a trailer into the basement hauling wood before I could drive. I even started a log business when I was in college. I don't even remember not knowing how to start a fire or run a chainsaw.
My first apartment was uninsulated with baseboard heat. One winter of electric bills was too much for me. Second apartment had central heat and air, but again the electric bill was twice what my parents had even though I had 1/3 as much space. When I bought a house it had a wood stove and window air just like when I was a kid. I did install central heat and air my first year here, but we use the wood stove all winter. When it was just me here one January I got a power bill for $48. Now I have a wife and 3 kids and my winter time electric bill stays around $100 a month vs $150-200 during the summer. That $50-100 a month savings buys lots of chainsaw gas especially if you consider I can cut a winter worth of wood in a week.
I also know that if you use electric heat, the house takes hours to warm up and never feels as warm as with wood heat. A few years ago it stayed around -20°F for lows for a week. Everyone else was freezing pipes and struggling to keep their house 60° terrified of the power going out. I had the living room 80° when I went to bed and woke up to 65°. The only reason I can think of not to use wood heat is if you are physically unable to cut wood or load the stove.