Balanced scoring:
1. Far more difficult to defend
2. Less vulnerable to an injury
3. Less adverse influence from an individual “cold streak”
4. Less impact from a graduation/NCAA year’s exodus
5. Likely to enhance teamwork and team sprit
6. Probably better for player-development
7. Better exploits Duke’s proactive defensive pressure
Mostly because I think it helps play an attacking game, both on offense and defense, and that's my favorite type of basketball. More support for balanced scoring in this article:
http://www.nysun.com/article/69852
Much as I loved to watch JJ, I believe a balanced scoring attack will succeed better. While we cannot go back and play the 05-06 team, we will have a rough (very rough) comparison in how far this team goes in the NCAAs vs. the 05-06 team. If you are relying on one guy (even JJ), one bad shooting game and you go home.
I think balanced scoring is more effective, but just watching someone go off (eg, Scheyer in the first half against FSU) in spectacular fashion can really be special to watch.