If it takes years to recreate the resources or recapture the CO2 from what is burnt in the course of days, then it is pretty grotesque to call it sustainable, but maybe the numbers show otherwise?
If everybody shares burners for highly processed pelletized wood that lives up to power-plant like smoke processing requirements (how many would you say do? 90%? 20%?), then indeed you might be able to just being as bad as coal... Which is horrible.
Air-to-water heatpumps are also an option, no need to compare to the heating solution with the highest installation cost.