I assume they don't want you to hoard camping supploes, and have them in the inventory as a sort of resource management (aka. Pathfinder), but why would I, if I only need food when camping? Of course I will send majority of food to the camp and only pick it up if I need it.
They should rethink that then. What if we spend a "day" looking for supplies to last us for a few rests? I don't consider that hoarding, it is being practical. It would make sense for the game to automatically remove them from the chest if we want, perhaps prioritize inventory first then chest.