I'm not sure that I completely follow the initial workflow you used, but if you were to use the Section Callout tool itself from the start, the automated process provides what you are describing where changes to the clip volume in the 3D model are automatically reflected in the Drawing Model. In addition, it provides you with options to select a Drawing Seed, generate Drawing and Sheet Models (if desired) whether to the active file or externally, and automatically open the end result.
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