That's a nice compilation of the differences between the two.
The only issue I had with the article is the author's opinion that The Wolverine is the weakest of the X-Men films. We're all entitled to our options, so my opinion is that this guy's opinion stinks. I find this to be arguably one of the best X films. If it wasn't for the odd shift in tone for the climax (and only the climax) I'd say it is the best. As it is, it's definitely up there with X2 and First Class. Those were all superior to the first "X-Men". X3 was mearly OK and ultimately disappointing. "X-Men Origins: Wolverine" stunk out load.
One of the complaints that this guy had about The Wolverine is that it didn't introduce any cool new mutants. Yeah, that's kinda the point. This is Wolverine's story, in Japan, going up against the Yakuza and ninjas. The weakest part of The Wolverine was the stuff with "Viper" (a mutant) and the climax, which just didn't match the tone of the rest of the film. Origins: Wolverine and X3 three had lots of cool new mutants, and they weren't good films.
That being said, Yukio was a "new mutant", Though her power wasnt "in your face". And she was an awesome new character. Best character in the film next to Logan.
Anyway, regardless of your taste in X-Men films, the extended verison of The Wolverine is definitely superior to the theatrical.