I don't believe that there is any contradiction here. HRH is talking about the burning of forests, particularly the rainforest, to clear land for agriculture (including palm oil plantations) or to use as fuel. There is also rainforest habitat loss due to illegal logging of exotic woods for architectural uses.
The architecture and construction we show on TreeHugger (and the wood construction we promote) is built from sustainably harvested forests, usually close to the location of construction. Our favorite woods are certified by the Forest Stewardship Council (FSC) who say "In many forests around the world, logging still contributes to habitat destruction, water pollution, displacement of indigenous peoples, and violence against people who work in the forest and the wildlife that dwells there. Many consumers of wood and paper, and many forest products companies believe that the link between logging and these negative impacts can be broken, and that forests can be managed and protected at the same time. Forest Stewardship Council certification is one way to improve the practice of forestry."
TreeHugger suggests that one should Choose their wood wisely, and avoid phony industry-run certification schemes.
Pick the right wood and use it wisely and there are few better, greener building materials.