1) BGE sitting on the deck with no stand at all - yes it's a fire hazard.
2) BGE in a normal nest / stand / table - no not really a significant hazard. I'd keep anything that could burn 12" away from the BGE if I had a choice.
BGE tables run right up to the Egg and they don't seem to be any worse for wear. The major hot spot is on the bottom of the Egg.