I would have explained by now how it works on the other games, since the multi-game support was supposed to be one of its features. Last week Hyrule Warriors support was added, but we haven't got the foggiest what that means.
The game is multiplayer right? Then I could see you being able to save your characters with their stats, equipment, etc. onto the Link amiibo and then go to your friend's house with it, but that's still meh.