One of the reasons that Lou Piniella is one of the few remaining practicioners of the art of umpire-baiting is that Sweet Lou is the linear descendant of John McGraw. That is, John McGraw coached Casey Stengel, who coached Billy Martin, who coached Lou Piniella. Each of these were scrappy players of who made up for their lack of physical gifts with a fiery, win-at-any-cost temper that looked for every possible competitive advantage. When they became managers, they found similar players whom they mentored in their style of baseball, grooming them to become managers themselves.
For managers such as these, tantrums and diatribes were part of the way they lit a fire under their team, whereas for Bobby Cox, arguing balls and strikes is simply an elevated form of whining. It works for him during the regular season, as it is usually employed to keep his players from being thrown out of games (and possibly suspended) themselves. But Cox's Droopy-dog style has been death in the post-season, where the Atlanta Braves, despite being perennial contenders anchored by a starting rotation featuring 3 likely Hall of Famers, have only won the World Series once. In the crucible of the playoffs, Cox's whiny attitude inevitably spills over to his team, and they are inevitably steamrolled by hungrier, fiestier (though often less talented) ballclubs.