I don't think it's real.
Maybe Woodward has had a "visitation" from Webster (was that the CIA guy's name who talked to him from a coma before he died?) and told him all the spooks on both sides of the "veil" are urging Cheney to run! Woodward is a fruitcake, but even he looks semi-sane next to his evil old partner Bernstein. Actually, both of them seem to think that their audience is dumber than dog turds and they can say anything and we will buy it.