David Berri says yes:
Rose currently has an effective field goal percentage of 0.488. Kyle Korver, Carlos Boozer, Kurt Thomas, Keith Bogans, Joakim Noah, and Luol Deng are all more efficient from the field than Rose. So if Rose let just let one of these teammates take three of his shots each half, it seems unlikely the Bulls would be worse off.
After all, many of these players have taken more shots per game (at similar levels of shooting efficiency) for other teams in the past. So it seems likely that Rose passing the ball a bit more often wouldn’t cause the number of games won by the Bulls to decline.
This ultimately strikes me as a more persuasive use of shooting efficiency stats than do efforts to collapse everything into an overall player evaluation stat. It’s natural for the offense to run through Rose rather than a guy like Korver or Noah, but the fact that both of them have higher TS% numbers than Rose and have taken more shots per game in the past suggests that at the margin he needs to pass a bit more and shoot a bit less.