There is a lot of different ways of looking at it. As others have said, the 360 saved the PS3 by giving developers a large enough user base to develop HD games for. And of course by that argument, the PS3 has saved the 360 in the same way.
If the Wii never existed, I still think the 360 vs PS3 battle would have played out in a very similar vein to how it has so far. If the PS3 didn't exist, most HD gamers would have gravitated over to the 360 so it'd be still Wii vs 360, and same for if 360 never existed. Although I will say that given the PS3's entry price and Sony's PR blunders during that launch period, the 360 would have competed better against the Wii than the PS3.