Let’s show some examples, okay.

So far this season, Boston is 1st in defensive rating (99.4 points allowed per 100 possessions), 5th in defensive rebounding (76.4% DRB%), and tied for 19th in pace factor (91.3 possessions per 48 minutes).

So far this season, Miami is 2nd in defensive rating (100.4 points allowed per 100 possessions), 8th in defensive rebounding (75.5% DRB%), and 23rd in pace factor (90.8 possessions per 48 minutes).

So far this season, Chicago is 3rd in defensive rating (101.1 points allowed per 100 possessions), tied for 16th in defensive rebounding (74.4% DRB%), and tied for 12th in pace factor (93.1 possessions per 48 minutes).

So far this season, New Orleans is 4th in defensive rating (101.4 points allowed per 100 possessions), 2nd in defensive rebounding (77.7% DRB%), and are tied for 25th in pace factor (90.4 possessions per 48 minutes).

So far this season, Orlando is 6th in defensive rating (102.1 points allowed per 100 possessions), 1st in defensive rebounding (78.1% DRB%), and tied for 19th in pace factor (91.3 possessions per 48 minutes).

So far this season, Milwaukee is 6th in defensive rating (102.7 points allowed per 100 possessions), 3rd in defensive rebounding (77.0% DRB%), and are tied for 25th in pace factor (90.4 possessions per 48 minutes).

So far this season, Dallas is tied for 7th in defensive rating (102.8 points allowed per 100 possessions), tied for 10th in defensive rebounding (74.7% DRB%), and 21st in pace factor (91.0 possessions per 48 minutes).

Well, as we can clearly see, six of those seven upper tier defensive squads can be classified as slow-paced, while Chicago is the only medium-tempo teams of the bunch. The Bulls, however, are also the worst defensive rebounding ballclub of those seven teams.

So far this season, the seven fastest paced teams in the league have been Minnesota (97.9 possessions per 48 minutes), New York (96.6 possessions per 48 minutes), Denver (96.5 possessions per 48 minutes), Golden State (95.4 possessions per 48 minutes), Phoenix (95.0 possessions per 48 minutes), Houston (95.0 possessions per 48 minutes), and Toronto (94.8 possessions per 48 minutes). All seven of those teams are in the bottom-third of defensive rating, while just Minnesota and Denver are average defensive rebounding teams.

The only fast-paced team that's good defensively is Indiana, which is tied for 7th in defensive rating (102.8 points allowed per 100 possessions), tied for 14th in defensive rebounding (74.5 DRB%), and is 8th in pace factor (94.6 possessions per 48 minutes); plus, the only slow-paced team that's poor defensively is Detroit, which is 26th in defensive rating (110.7 points allowed per 100 possessions), 24th in defensive rebounding (71.7% DRB%), and is 29th in pace factor (89.2 possessions per 48 minutes). They're both outliers, though.

http://www.basketball-reference.com/leagues/NBA_2011.html

Once and for all, I hope this dispels the fallacy about how teams that get defensive stops and rebound well tend to push the ball. In fact, the stats indicate it's quite the opposite.