So according to Eiji Anouma...
Collecting rupees, the currency of the Zelda world, will be very important in this game. You might think that was the case with all the past games too, but I must say that this time it will be more important than ever and you will need to collect a great deal of them.
Hearing this after seeing that screenshot of the shop with dungeon items in it makes me wonder if maybe you buy items and can tackle the various dungeons in any order or something.
Called it. Near enough. Today's Nintendo Direct revealed that "after a certain point" in the game you can tackle the dungeons in any order you want with whatever items you want, renting them from Ravio's (the Nabbit-like character) shop.
I'm also intrigued by the appearance of a Zelda-like princess with dark hair called Hilda. As well as Zelda herself, of course.