Things not highly detailed in the OP like, exact launch date, first party and third party launch titles, general first and third party titles throughout the gen, hardware design (aesthetics), launch hardware (bundles), media type, accessories, etc, etc, etc, all and many more could make a tiny if not massive difference in the outcome of this alternate history.

Without a much more detailed breakdown of the details, this leaves the door open to many interpretations of what may have played out. Which in a way, is interesting in of itself, but makes it far more difficult to come to any sort of consensus as to how things would've likely played out. I'm not sure if it's better to be more specific about these alternate histories or not, or just leave it more open and kind of a free for all, because it's unlikely that everyone is going to automatically agree with the OP's decisions on the details, whatever those may be, to begin with.

Personally I don't know which I prefer. More details with a goal of coming to consensus, or seeing everyone's differing views on what would make the most sense for those alternate details to be. I do know I'd miss seeing what other's would expect makes more sense in terms of the initial details, if the OP had everything strictly detailed and fully fleshed out.

The intention was to leave it more open to interpretation and discussion, yes.

I'd also say, based on the 2001 Wii timeline, that Wii U still launches, around 2006/2007, and hilariously does better because of how terrible things go with PS3. SNY may have even pushed for motion controls in this scenario because of how well 2001 Wii does, just making their problems even worse than they already were with PS3. I'd say one way or another, Wii U sells 2X-3X as many units in this timeline during 7th gen.