It would provide a good soundtrack for playing Ryuutama to, and indeed some people have stated that Ryuutama would be the ideal game for playing in a Breath of the Wild setting. Most of the people are not warriors (save for the maniac in a blue tunic rushing around the place with a bloody big sword) and there are no wizards or thieves (though the ninja-like Yiga clan could nicely fill in as villainous examples of the latter). You even have dragons, although Hyrule has three rather than the requisite four required in Ryuutama, but that's not an unsurmountable problem. It would work very well, especially if you set it after the main events of the game. The big bad of the game, Calamity Ganon, has been defeated, the monsters are now less numerous, but there's plenty of adventure out there for Hyleans (your standard "folks" in the game) eager to explore this ruined but now liberated ancient kingdom.
Yes, I think it would work very well indeed.