Maybe, but this generation has taught developers to be much more cautious about how they spend their development resources. Many developers have never backed or trusted Nintendo's consoles. Some refuse to for their own personal reasons and agendas. And those developers are probably going to choose to be cautious against Nintendo, always giving the other guys the benefit of the doubt.
We will never see a Nintendo console get the support that PS2 did most likely, but that doesn't mean it cannot be close. The PS2 had a lot more going for it than the fact that the PS1 did well. It played DVDs at a time when DVDs were becoming popular which helped it rocket in sales in Japan and later here in the US. It also came at perfect timing as the N64 was on its last legs, the visual difference was much more stunning than the blocky and fuzzy PS1 and N64, and amongst all of this PS2 still had a year headstart.
I don't know if a console will ever be in such a secure position again. The Wii could have if it were released earlier, but the Wii is a different animal and is carving its own path. The Wii is gathering customers like the PS2 should have. Instead of consumers buying for DVD capabilities, they are buying the gaming console for the games! (even if some are casual centric) Wii has also already become a cultural phenomenon in less than a year. In fact, it was one a few months after launch. PS2 took a bit more time to reach that status.
Wii 2 is going to be determined by if it can keep this momentum. If Nintendo perfects these concepts or gives us something else that will blow the casual publics mind, then we might see Wii 2 in every house in the world. lol.
