This is a rough list of what I think the future holds for Zelda games. While I can't say what is more or less likely, I can say what emphasis I place on them, expressed as part prediction and part hope. (percent prediction/percent hope)
Weapons won't break anymore (75/25)- Personally, the durability system didn't bother me in the slightest. While some aspects did break my suspension of disbelief a bit (a sword shattering after 6 hits feels rather silly), it wasn't nearly enough to hurt my enjoyment of the game. Quite the opposite in fact. Pelting an enemy in the face with a weapon that was about to break, having it shatter against their stupid face while I grabbed up their own dropped weapon and bring it to bear on the next doofus in the conga line added a lot to the pacing of many battles, especially early on. That being said, i'm well aware that not nearly everyone felt this way. Weapon breakage is likely one of the single-most maligned aspects of the game, and I'm sure Nintendo will take notice. While some form of breakage/repair mechanic is liable to come back, treating weapons like the sampler toothpicks at a Panda Express is likely taking its final bow. If they go down this path- they will bring back weapon variety (axes, spears, swords, etc.) and will have some sort of material component that allows for something like repairs or upgrades, but uses the structure of the game to prevent you from easily maxing them out early, thus encouraging you to experiment with a variety of items.
Renewed emphasis on story (50/50)- While an individual player may or may not put great stake in the story of a Zelda game, I would posit that the games themselves seem to be at their best when the game cares about its story: Majora's Mask, Link's Awakening, and Ocarina of Time all put a lot of focus on the narrative that was occurring, and structured themselves around it to some extent. Beyond that, the lack of a story that runs through the gameplay was the other thing frequently decried about Breath of the Wild.
At least partial return to a more linear structure (25/75)- As fun as it was to wander freely across Hyrule, I feel that the enjoyment of the dungeons suffered greatly on the altar of nonlinearity. With luck the developers will take what they learned from the latest installment and apply it to making a more finely crafted difficulty curve, with not so much of an enforced dungeon order, but certainly an implied one. If they go down this path- A return to themed dungeons with distinct visual styles and thematic elements, and sweet dungeon music again.
Freely explorable caves (10/90)- Not sure how to elaborate on this one. I really was disappointed that BotW didn't have freely explorable cavern systems. Everything was shrines that load or dungeons that weren't difficult. I'd love to find random labyrinthine cave systems that require a certain degree of fortitude and wit to explore. Think something in the nature of Typhlo Ruins, only it gets steadily darker as you delve deeper, with stronger monsters and some sweet rewards that escalate as you go. Culminating sometimes in a wicked neat puzzle, or a cool miniboss.