A control system for a work vehicle includes a controller configured to establish a first bounding shape within a storage compartment. The controller is also configured to establish a second bounding shape by mirroring the first bounding shape along a lateral centerline of the work vehicle. In addition, the controller is configured to automatically engage product flow from a conveyor outlet to the storage compartment in response to the storage compartment being positioned on a first lateral side of the work vehicle and the conveyor outlet being positioned within the first bounding shape, and to automatically engage product flow from the conveyor outlet to the storage compartment in response to the storage compartment being positioned on a second lateral side of the work vehicle and the conveyor outlet being positioned within the second bounding shape.