Use the actual filled box and pallet detail for that request. Ask packaging to show where support is required in each orientation, including the dispatch conditions. The tooling reviewer needs that same marked drawing.
Who owns the preferred direction in the first place? A box marking, an internal packing drawing and a warehouse stacking preference aren't interchangeable. I'd chase the person who can explain the load path, not just get a signature beside the arrow.
Pavel's distinction is worth resolving. Warehouse can explain its handling requirement, but it should not have to invent a packaging limit just because its drawing is the one everyone has.