Much of this habitat looks better to me, with more large trees, a lot of standing dead timber, and plenty of woodpeckers an amazing density of Red-bellied Woodpeckers, with plenty of Pileated, Downy, Hairy, and Northern Flickers. Much of the area we were able to search is usually underwater in winter and spring, or at least so dissected by deep sloughs as to be impassable. However, our prolonged drought allowed us to get into areas that are normally inaccessible. I give it a qualified yes. There is a lot of forest, and much of it is usually inaccessible.
Birders routinely visit along the one small road network, but primarily during breeding season.
The area has an extraordinarily high density of breeding bottomland species, especially the much sought after Swainson's Warbler. But if the woodpeckers were reported just a few miles south or north of that road, no one would know. His discription of both birds is so good that it can't simply be a case of mistaken Pileated id. I think David Kullivan did not really see Ivory-billed Woodpeckers, but that he sincerely believes he did. However, my opinion is based more on my gut feeling about the probabilities than any objective evidence.