Wow! I should say so.
Looking at the available photos of the original, it looks like the Madonna door hinges may be mortised into the door edge, but are likely screwed to the inside surface of the box lid side (if that makes any sense). I don't see signs of a mortise on the box lid. That would allow the door to open full as shown with the full thickness recessed into the cubby and then open without hitting the lid. Just a thought, and it would be in keeping with Adam's thought that the box was made of other used piece of wood - that hinge isn't seen, but the edge of the lid is, so hide it inside.
David