The Chicago Bulls had a championship caliber defense last season. They finished #1 in defensive rating and were solid even against the elite offenses of the league. Unfortunately, their 11th rated offensive rating simply wasn't championship caliber.
Personnel or scheme?
Looking at the Bulls offensive personnel, they had a wide variety of talent, but they lacked two things to put consistently deadly offensive units on the floor:
1: A stretch big man
2: A higher caliber SG (really we could use ball handling, shooting, or shot creation, any of the three would have helped tremendously)
The lack of a stretch big man was apparent when Noah and Boozer were on the floor together, both bumbling into each others way in the low post. Since Boozer spent a lot of time down low, and no one respected Noah's jumper, it left a lot of defenders in the paint.
Outside of Korver, the Bulls lacked a player who could really punish them for this, and even with Korver, they opponent could still play one man on him and crowd the paint with everyone else.
Rose, Deng, and Bogans could all shoot the three passably, but none of them well enough to pose a real threat or truly punish a team for leaving it open repeatedly.
The lack of a secondary offensive threat at the SG position equally hurt the team. When a team crowds the paint and makes Rose's most efficient style of offense difficult, they had no option to swing the ball to the other side of the court and reverse the attack.
Deng could take an open jumper and occasionally beat a man with a pump fake and dribble in, but he wasn't going to create his own shot. Bogans would frequently pass up open shots or was only good for catch and shoots. Neither was so deadly with the three to make it a true threat to the opponent.
If the Bulls had anyone with very good offensive skills next to Rose, particularly someone who could shoot and handle the ball decently, the crowding of the paint defense would fall apart pretty quickly. Someone like JR Smith properly reigned in would cause havoc for opposing defenses.
However, all that said, can we purely blame the offensive personnel for the lack of offense? The above listed weaknesses were clearly problems, but even elite teams have flaws in them. The Miami Heat had very little offense after their top three players, but they made it work because their top three players demanded double teams.
When the Bulls went to a Rose, Korver, Deng, Boozer, and Noah lineup they should have been able to score at will against teams, but it didn't work out that way against the better defenses. They could never get Korver open, wouldn't run pick and rolls with Boozer, and Rose would frequently settle for mediocre shots.
Furthermore, the team would often fall into a "watch Derrick Rose" pattern. Much like Jordan's teammates early on would just stand around and wait for Jordan to bail them out, Rose's teammates are frequently guilty of the same thing. Phil Jackson noted that the triangle offense wasn't for Jordan, but it was for everyone else.
There's no scheme here for everyone else to get them comfortable and going in the offense. Carlos Boozer was a tremendous pick and roll player with Deron Williams, but we haven't seen that same continuity built up with Derrick Rose.
Joakim Noah showed he can play offense while Boozer was out, but we haven't figured out how to integrate him with Boozer.
The Bulls have a ton of interior passing talent between the two, but it's rarely taken advantage of.
In short, the Bulls probably have a lot more on the table offensively than they showed last season. Part of the reason is likely Tom Thibodeau's maniacal attention to defense at the expense of offense. Against Miami, the Bulls held them to 82, 85, 96, 101 (in OT), and 83 points.
None of those games were truly a terrible defensive outing against an elite offense. 103, 75, 85, 93 (in OT), and 80 points is what they scored. It was horrific offense, particularly at the end of games when Miami truly clamped down and tightened all the screws defensively.
Yet every post game did we would hear over and over about the defensive effort, intensity, bad defensive possessions, doing better on defense. When you average under 90 points for a series, it's time to start thinking about what you can do offensively to mix things up.
This will be Tom Thibodeau's greatest challenge in his second year as head coach. He's proven he can coach defense. This team has proven it can play championship caliber defense. Can he get the offense to catch up?