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Baile is the one that looks closest to the original. It's arguably the most well known and advertised species.
Pompom borrows from a few of the yellow species. One being immune to paralyzing poison of the tree that Sophocles is named after. The others for bill shape and color.
A bit of a stretch, but Pau is plucked to reference how Hawaiians took a few feathers from the birds for high class ornaments and then released them.
Sensu is just to reference how Japanese moved to Hawaii and bird dances I guess.