I'd agree with Chris. He might lose fewer rebounds than Boozer but they'll both go down some. Boozer's also a bigger part of the offense so Noah might not get as many shots.
The rebounds thing is debateable..but the fewer points I don't see. How are you going to take points away from a guy who scores primarily on opportunistic baskets?
Boozer is a much more efficient player inside than Gibson or Miller, so presumably there will be fewer put backs, etc., for Noah. That's one way that Noah's points will go down. There will also be more defenders in the paint in general, which could cut down on opportunities.
Defenders will leave Noah to double Boozer, that's one way that he'll get more open looks.
Noah will also take Gibson's role as primary pick and roll player, so he'll get more looks as Boozer gets his position in the paint.
And also, how are there going to more defenders in the paint? Am I missing something, or does Carlos Boozer's addition mean the Bulls opponents get to have 6 players on the court at all times?
Boozer's shot selection mirrors Taj Gibson's almost identically.
Taj Gibson: 48% jumpshots, 52% inside
Carlos Boozer: 49% jumpshots, 51% inside
If anything the added attention to Boozer will help Noah, not hurt him.