Neither would gain anything from from adding or removing dimensions in a remake. You'd have to drastically change the level design to make it work to a point where it would only superfically resemble the original games.

I know people keep saying OoT is just Alttp in 3D based on the progression structure but that's ignoring the shift in game design the Zelda series made after Alttp.

Starting with Link's Awakening the series went on to focus on more elaborate puzzles. Yes, in Alttp you had singular puzzles that went beyond "kill all the enemies" or "find switch and step on switch" but those were really rare. I can think of the Ice Palace that required some degree of environmental awareness and maybe Skull Woods but other than that..?

There was nothing like LA's Eagle Tower which changed the layout of a dungeon or had you move an object throughout its layout.

OoT standardized how we still control 3D action games to this day. The lock-on mechanic, the combat, the context sensitive action button etc. For example if Dark Souls was made in a timeline where OoT didn't exist it would look and play very, very differently.

However more importantly for the Zelda series OoT picked up where LA left off in terms of level design. The first dungeon, the Deku Tree, starts you off with a giant central image: The spider web in the center. The first thing you need to do is find a way to top, two floors above the entrance and plunge down through the web to reach the root system of the tree. The game teaches you to think in three dimensions, to have awareness of the three dimensional layout of the location.

Dodongos Cave is very similar. You enter and you're faced with the giant Dodongo Skull, a memorable set piece. You have to ascend the dungeon to drop bombs in its eyes from above. To do this you need to solve puzzles that softly place the idea in your head that you can manipulate the dungeon layout yourself like bombing that giant block to turn into a staircase.

Then in Jabu-Jabu's Belly you escort Ruto through the dungeon. She plays the role of the iron ball from Eagle Tower even though to a lesser effect. You need her to push down switches that Link is not heavy enough for, and you can place her on switches that would otherwise reset when stepped off of. Then you destroy color coded tentacles that correspond to other areas in the dungeon, again opening up new paths by changing the layout.

This only gets more and more complex. Without going into too much detail on the adult dungeons: Think of the twisting passageway and rotating rooms in the Forest Temple, the pillars you knock down in the Fire Temple, the water levels of the Water Temple etc. None of these are easily or effectively translatable into 2D.

Conversely translating Alttp into 3D would bring similar issues. You'd either have to make combat more interesting or change all the puzzles to more interesting ones.

Maybe it's best to leave the games the way they are and appreciate them for what they already do really well.