Having done every shrine, I feel like it's fair for me to say this game is far more intrinsically fun than it is extrinsically. Most of the puzzles suck, people find them fun because of how they break. Most of the combat sucks, people find it fun because of when they mess with enemies. Most of the story sucks, and people find it fun to headcanon half the shit that happens anyway.
BotW is a very FUN game, but I refuse to acknowledge it as a GOOD game.