You offer no facts to prove the contrary.
Ok, I've done a little research. What follows are scatter plots of different team statistics from the NBA Playoffs from 2005-present plotted as x-values with respect to that team's winning percentage in the playoffs for that individual year. The idea here is simple: the higher your W% in the playoffs, the deeper into the playoffs you go, so let's find out what, if anything, correlates with playoff success, and to what degree. There are 96 cases in the data set, which represents the last 6 runs of the NBA Playoffs. Under each graph I will include the respective R-squared and correlation coefficient numbers (number not approaching zero indicates some form of linear relationship, number above 0.5 indicates solid linear relationship, and the same holds for negative values).
Now, I know what you're thinking. You're thinking "a team can go 16-12 (.571 W%) and still win the NBA Championship, so winning percentage isn't the best way to gauge playoff success." Don't worry, I checked: Not once in the last 6 playoff runs has the Champion's W% dropped below .600, and neither has the W% of the NBA Championship
losing team, save for one team, the Magic two years ago. If Playoff Success Points were readily available for use, I would have used them, but W% has shown itself to be good enough for our purposes. So here we go:
Defensive Rebound Percentage (percentage of available rebounds the team on defense was able to wrangle in):
Correlation: 0.116, R-Squared: 0.013
Offensive Rebound Percentage:
Correlation: 0.136, R-Squared: 0.018
Defensive Rating:
Correlation: -0.587, R-Squared: 0.344
Offensive Rating:
Correlation: 0.509, R-Squared: 0.260
What to take from all this? A clear win for defense, right? Actually, the negative correlation that accompanied team defense indicates that teams that do
well on defense don't tend to fare too well in the playoffs. This makes sense when you think about it, because unlike the regular season, there are very few (if any) "bad" teams in the playoffs that you can keep from scoring baskets regularly. The better teams will still be able to put points on you, and if you can't return fire when you have the ball (like, say, with a defensive center that was 21st among centers in scoring and an oft-injured forward that struggles to put up consistent numbers on-par with his salary), you aren't going to win many games.
Overall, the team ability that most lends itself to playoff success is
offense, and thus,
scoring.
So then, since
scoring has the most to do with playoff success (outside of luck and other factors outside teams' control), and the Bulls would undoubtedly be a better
scoring team with Carmelo Anthony sans-Deng and Noah, the Bulls would be better primed to win more playoff games and thus, more likely to win an NBA Championship than without him.
And why, again, am I supposed to take you seriously?
Because you're wrong, and I'm the one proving you wrong.