@S.T.A.G.E
The console market has undergone a shift this generation, and Sony does not have the luxury that you think it has. In the past Sony may have been able to split its affections, because it had the studios and market position to do so. The case now is almost the complete opposite. Sony has far too many under performing or under delivering studios, and it doesn't have a dominant market position. In other words they are going to be hard pressed to cover their end of it, and third parties aren't going to be able to lavish like they have in the past.
What I see is Microsoft and Nintendo stockpiling development into the new generation. Microsoft is doubling, and even tripling up on first party studios. Nintendo is being first to the market. Which means by the time Sony moves into the next generation. One player is already going to have a pretty decent library, and the other is going to just pour in a pretty substantial number of first party titles. That isn't going to leave anything really for Sony to give to the PS3.
This is the problem Sony isn't going to be able to really support the PS3 once the PS4 comes out. It isn't really a matter of preference, but of necessity. Any resources withheld by Sony for the PS3 could result in some pretty dire consequences for the new platform. When you need every game you got, and every studio producing just to have a good chance at striking a cord. Splitting resources would be a really bad idea. Just as it was a bad idea for Sony this generation. Those games that went to the PS2 early in the life of the PS3 could have really helped the PS3 out a great deal.
I just don't see Sony doting on the PS3 after the PS4 comes out like they did with the PS2, and I really don't see third parties doing so either. Sure there will be games, but not big ones, and most definitely not a lot of exclusive games. Which is what let the previous consoles tread so long after their generations ended.