Dan, as already reported by others on this thread, the "death" of a tree does not mean the top alone. The roots continue to feed it water if they are still alive. Even after all of the bark and leaves are all gone, many roots are alive and well beneath the ground, pumping water from the ground into the trunk as best as they can.
It's a pointless effort by the roots, but they do not know any better. So, wood from a "dead' tree can still not be ready to burn in a stove or fireplace, even if split, stacked, and dried in the air for a couple of months.