If I remember correctly, that box is indeed Pokémon that were trapped when the Dream World shutdown. I had spoken with Kurt a while back about adding Misc read-only slots for HGSS Pokewalker and also Dream World Pokémon for the purposes of allowing users to recover them. HGSS Pokewalker does have an ingame recovery method (On the Pokéwalker menu, hold Down + X + L to manually retrieve your Pokémon), but that only works if you still have the game, if your savefile is orphaned from the cart
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