The site brings up that Raimi did indeed add "Ex Mortis" to the title "Necronomicon" (and that that was a redundancy). However, that doesn't really change what either of us said. Raimi wasn't particularly concerned with making the Evil Dead trilogy fit with the Cthulhu mythos, if he had been he would never have said the Necronomicon was from 1000 BC Sumeria, well over a millenia earlier than Lovecraft had it created.
The "Hail to the King" game tries to move a bit closer the Cthulhu mythos, putting Ash down at the place and time where Lovecraft said it was created (iirc, he said that that was the year Abdul Alhazred was torn apart in broad daylight on a Damascus street by invisible attackers). As for the name being different, well, that's another of those Evil Dead errors that make the series so much fun. One way of getting around it may be in the fact that "Abdul Alhazred" translates to "servant of the tentacled thing" so it may just have been a nomme de plume for Abdul Azeez.
As for the alternate name for the Necronomicon, since we know its a redundancy, we can just chalk that up to Prof. Knowby not being as good a scholar as he thought (the getting himself and his family killed by demons thing sort of hints at that anyway).
About the new version of the Encyclopdia Cthuliana, dont let a casual perusal fool you, it takes some digging to make the changes known, but once you start looking, they're pretty significant. Among the most significant, IMHO, are the inclusion of the Evil Dead nuances in the history of the Necronomicon (meaning that to them, it was the same book, "Ex Mortis" aside), and of the Conan series.