We lost over a million ACRES of trees to wildfires, just in the last 3 months, just in Montana. That would be at least 10 million cords if not ten times that in some of the old growth that burned. A waste but also a window at what that much smoke would do. It was bad, like off the charts bad, air quality. You couldn't see more than 2 miles for months, some days you couldn't see 2 blocks away. If you were burning that much in the winter it would be even worse with temperature inversions. Still your math is an overestimate as millions in the southern see a wouldn't "need" heat at all.
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