Earlier quoted context omitted.
Does it really make a difference to burn wood than to throw it away? I guess that after decomposition of the wood, all its carbon goes back to the atmosphere. It is just slower than if you burned it. The biosphere is a closed cycle, we cannot probably use it to store carbon away by means of its own mechanism. Main problem is that we are adding new fossil carbon into it every day.
I've heard the opposite for global warming - burial is excellent for carbon capture (delays carbon release for a long time), burning is awful (releases carbon into the atmosphere instantly).
EDIT: as the sibling comment observes, burning the tree cannot be "awful", as all the carbon from that tree came from the atmosphere. Growing and burning a tree is the epitome of carbon-neutral thing to do. Now, burying a tree may have a positive (non-neutral) effect.