No idea if it still turns on since it's not charged, but it worked when I tested it a few years ago (unlike my original DS, which is thoroughly busted)
(When my older brother and I got GBA SPs he got the metallic blue Kyogre one but I only got the unadorned metallic red one, so I got jealous and my dad offered to paint a Pokémon of my choosing on the lid, and I of course chose best girl Latias)