Unfortunately, it seems like middle-class Brits are completely obsessed with log fires, judging by British home renovation shows.
Tree starts as a seed. Grows up and sequesters X tons of carbon. Tree is burned, releases X tons of carbon. Tree is re-planted, grows up, sequesters X tons of carbon. Tree is burned, releases X tons of carbon.
If everything in the world right now was wood powered, we would not have a global warming problem. We would have massive tree farms sequestering the same amount of carbon we are releasing. (We might have a soot and particle problem, but that's another story).
The problem with oil and coal, is we have no way to make more. We burn oil and release carbon.. how are we making more oil and pumping back underground to sequester that carbon?
But I don't feel bad when I burn firewood pulled from a local forest. As that burning is not adding carbon to the world overall.