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Archie, Maxie, Cyrus, and Lysandre literally all ponder the same "Gee, I wonder if things would've turned out how they did had a trainer like you been around in my world" point. All of these leaders, including Rainbow Giovanni, come from worlds where the protags either never became trainers or were outright never present at all, and so the villains' plans all proceed, unimpeded, until they're all completed, upon which time the leaders were dragged through wormholes to Alola.