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Actually the Tapus could fit into the mystery dungeon world pretty well too.
Each of them could govern an island like they do in the main game (and with PSMD having multiple islands, it's not too much a stretch for those multiple islands to maybe work better in the next game). Each of them could also serve to be the fickle guardians of each of their respective islands, and is partly in charge of giving out exploration badges to up-and-coming exploration teams. Of course, since they're all kind of dicks according to lore, they're all probably the silly but scarily competent leader types established by Ampharos and Wigglytuff, but more selfish and cynical (especially in the case of Bulu and Fini)