Again, I get why people are so attached to dungeons and I don't think they should be abandoned outright. But I do think they'll need to be drastically rethought going forwards because Breath of the Wild but with the Forest Temple plopped in isn't going to work, IMO.
I don't see why the big open world can't have dungeons worked into the big open world and I didn't think the shrines or Beasts were some kind of great substitute. I get what you're saying about the game design, but for me the world was much too big and I don't find joy in just running across huge fields and snow fields that go on forever-- that's just not great world/game design for me. Had the Divine Beasts been longer, had more enemies, maybe a mini-boss, and more boss variety than Blight Ganon, that would be fine.
I think people are "complaining" about the lack of traditional dungeons because these didn't scratch the itch they were looking for, and some adjustments, more variety, more length, more content in general in these dungeons probably would have. I think I'm more or less having trouble with this train of thought that the open world focus clashes with having dungeons, because the game still had dungeons and over a hundred shrines. It's just that, again, for some of us, they weren't wholly satisfying and I have no interest in that kind of layout.
I hope this is the one and only Zelda with all those shrines and just four kinda short and aesthetically samey dungeons. I don't dislike the Divine Beasts, I thought they were pretty cool actually, but had there maybe been a few more and what I went over above, you wouldn't be hearing any complaining from me. And with a world that big, again, I don't see how having "traditional" dungeons organically worked into it would be some kind of issue or clash.
edit: also on your point about things being "gated," they don't have to be gated at all. You can work a dungeon into the world just like the shrines. Not everything about the dungeons or traditional style has to be the exact same thing, myself and others just wanted more complex, labyrinthine dungeons worked into the world. Personally when I think of open world Zelda this huge, having four small-ish and visually repetitive dungeons isn't at all what comes to mind. Like I said the Beasts were cool, they were just lacking for me when it came to several aspects about them. Address that, and I'd be disco
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