I am using the pullers and rollers for collecting crops. While the crops are moving along the belts, my pawns drop items. This happens map wide. My hunters will drop prey, people i have set to only haul will drop what they are hauling, go back to pick it up, and keep trying to get it to whatever stockpile the item is meant for, until items stop moving along the belts.

Once the belts are done transporting, hauling jobs seem to work as usual again.