The program seems to be the same one I saw on the Discovery Channel, which was based on the book by Robert M. Best. I believe the Flood story is a through-and-through myth, a folkloric archetype that stands apart from mere cultural diffusion and which likely preceded the rise of civilization in the Near East. There is thus no historical "kernal" at the core, unless one recognizes the widespread fact that early homo sapiens sapiens migrated largely along coastal routes which were inundated at the end of the last glaciation (and perhaps several times before that as well).
But I do believe that the Sumerian-Akkadian version of the Flood myth (of which the biblical story is a later descendent) represents a local historicization of a more general and far more ancient myth, embedding memories of actual floods experienced by the ancestors of the Sumerian civilization into the repertoire of Flood traditions. According to the Sumerian King List and the Instructions of Shuruppak, the Flood occurred before the rise of Early Dynastic I and after the antediluvian dynasties of Eridu, Sippar, and Shuruppak, and involved the survival of Ziusudra, the lugal (king) of Shuruppak. That is a specific historical context, and archaeological evidence attests just such a flood at that time -- and another several hundred years before. Unusual alluvial strata were found at nearly contemporaneous levels during excavations at Shuruppak (modern Fara), Uruk, the earliest level at Kish, and possibly Lagash. These strata were deposited about 2900 BC, about 2 feet of yellow sediment in Shuruppak. The alluvial stratum was found directly aboce a polychrome jar, seal cylinders, and stamp seals from the Jemdet Nasr period (3200-2900 BC), and directly below plano-convex bricks from ED I which followed the Jemdet Nasr period (which according to radiocarbon dating began around 2900 BC). A 3-foot layer dating to about 2900 BC was found at Uruk, and the first of four flood strata at Kish dated to the same time. In all three cases, the flood layer stands at a "cultural break" between the Jemdet Nasr period and ED I. There was also an earlier flood from around 3800 BC that deposited an alluvial layer at a maximum 11 feet thick at Ur that came near the end of the Ubadian civilization (5000-3800 BC) and preceded the Uruk period (3800-3200 BC). There is a thin layer of Ubadian pottery after the flood layer, suggesting that Ubaidian culture lingered on for a short while before being replaced by a quite different culture from immigrants from the north. These two floods would have been catastophic to the early civilizations in the alluvial plain and I find it hard to believe that they would have been forgotten only 500 years afterward (in the case of the Jemdet Nasr flood) when the Instructions of Shuppurak was first composed. It is clear that the antediluvian period from the Sumerian King List preserves memories of the Ubaidian, Uruk, and Jemdet Nasr periods (e.g. Eridu began in the Ubaidian period and was an important city in the Uruk period, and Shuruppak was founded in the Jemdet Nasr period and was a significant urban center in that period), so it seems possible that that the elements locating the flood in Shuruppak and prior to the rise of ED I likely incorporate memories of the 2900 BC (and possibly the 3800 BC) flood. But one should not however take the Ziusudra or Gilgamesh Epic story and read it as history, as the story identifies a catastrophic flood of proto-historical memory with a pre-existing tale (as cross-cultural evidence suggests) that likely included folkloric motifs already in existence when the historical flood occurred.