This also rings false to me:

    Nintendo, meanwhile, dominated the generation with the Nintendo Wii. What
    was interesting, though, is that 3rd-party support for the Wii was still
    lacking, in part because of the underpowered hardware (in contrast to
    previous generations): the Wii sold well because of its unique control
    method — which most people used to play Wii Sports — and Nintendo’s
    first-party titles. It was, in many respects, Nintendo’s most
    vertically-integrated console yet, and was incredibly successful.

The Nintendo Wii did have excellent sales initially, but those sales fell off fast, as everyone who wanted a Wii for e.g. Wii Sports or Wii Fit got their consoles within a couple of years, and the severely underpowered hardware meant that the majority of games were released on the XBox 360 first, the PS3 second, and the Wii never. Meanwhile, Nintendo's normally strong first-party games struggled to integrate motion controls, so aside from gimmicky tech demos like the aforementioned Wii Sports, there really wasn't much reason to buy a Wii. It was a slightly better GameCube, that's all. If any console "dominated" that generation, it was the XBox 360.