"Where" you release is Component 24. "How" you trigger the release is Component 20. The Trigger most compatible with the Full Sweep release is the Hand Throw. The Triggers most compatible with the Random Sweep release are the Right Arm Throw (Hitter's procedure) and the Shoulder Turn Throw (Swinger's procedure).
Using the pivot (Shoulder Turn Throw) and/or right arm (Right Arm Throw) as you did would be compatible with your feeling that you were getting an earlier (Random Sweep) release.
Delivery Path throws and Hand throws are more compatible with the later, Snap release.
The word "most" does not show up in 10-24-A. The Full Sweep Release...This procedure....Triggers the Release at the Start Down by either the Hand Throw or the Right Arm Throw (10-20) Non-Automatic Trigger Types.
The phrase "most compatible" with the hand throw is no where to be found in 10-24-A.
The closest stroke that I would use the phrase "most compatible" with if we are talking about the hand throw trigger would be "Hands Only" Putting Stroke.