Well, the only thing, that we know for sure are:
1. Fleming outfitted Bond With a Rolex Oyster Perpetual
2. He further described it to have luminous numerals - on a flexible metal bracelet.
3. Ian Fleming personally owned an Explorer alongside with many other watches, including other Rolex watches.
Mr. Deaton makes a connection between these well known facts, but as we all are not able to ask Ian Fleming, it's simply speculation, which he's repeating on and on for his sales of iPhone apps, magazine articles and exhibitions that he's making a living from.
Again: There is not a single evidence which proofs his point.
As for the literaric Bond watch, this one also matches every single detail (minus the flexible bracelet - which has originally been with the shown watch).
For further less-biased opinions re. the literaric Bond Rolex have a look here: