The example is a hidden variable explanation, simply because you cannot do metaphors for quantum physics using classical physics. Perhaps another approach will

The example is a hidden variable explanation, simply because you cannot do metaphors for quantum physics using classical physics. Perhaps another approach will be clearer: Imagine magical filter goggles, of two types: red and blue. People wearing red goggles can only see other people wearing red goggles, people wearing blue goggles can only see other people wearing blue goggles. You put a pair of red and blue goggles to each box, then have four people pick a pair of goggles each. The result is that each person only sees one other person, near the second box, wearing the same colour goggles. This is more or less how many-worlds works, except instead of both red and blue goggles in the box you have a single pair of goggles that is both red and blue, but not at the same time (decoherence), and thus instead of two people wearing different kind of goggles, you have a single person wearing goggles that are both blue and red.