You have hit on something there. Lee's subordinates might disagree with his decisions, but they would do their best to carry them out. Bragg's commanders, Breckenridge, Hardee, Hanson et al did not trust Bragg's judgement. Lee's orders might be misinterpreted or lead to outright disaster, but not because his subordinates were reluctant to carry them out. Bragg, on the other hand, did not even bother to share his thoughts & plans with his commanders. As result, his ad hoc arbitrary orders were met with distrust & doubt.
Neither Bragg nor Lee had a plan that led to the battles they fought. Both ordered attacks straight out of the textbook. Rosecrans' plan was a mirror image of Bragg's. Hold on the right, flank the opponent on the left. Textbook, textbook, testbook.