To be honest, I call on neither.
Stadium-style pokémon games have been around since 2000 on N64. Watching the franchise become worldwide, I'd have to say that Pokemon Battle Revolution took a step back, actually lowering the content from older attempted games, making the true feel of a stadium experience a complete joke. PBR is not an acceptable enough stadium effort, as the idea of the game has been brought down to online or offline battles. The multiplayer mode, while it may be appealing to people, offers very little compared to what the DS had. Battling is only considered as one part of Pokémon's appeal, while the rest relies on exploring the surroundings, participating on side quests, and developing a team of creatures that suit your own style. Basically, all the things that Pokémon Battle Revolution abandons were in favor of fighting. In my opinion, I find combat in the series dull, only interesting when you compete against a friend, something that PBR allows, yes. However, all this game really has going for it are the visuals, and that's not saying much.
Those who have taken every last moment of enjoyment from D/P, might appreciate PBR as a a bit of a more challenge from the experience. For me, though, I simply regard this as a waste of money. I'd invest the cash for a game that's worth it, and frankly, I don't consider this one to be it.
As for the Nano, I personally don't prefer using iPods as my media player.