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I just figured it out a loophole for the chicken voice.
If Kiara's issue is lore/immersion-related, then she can just say that she's established a connection with one of her previous or future phoenix incarnations or whatever.
So sometimes we will get THAT incarnation of Kiara instead, where she will sing/talk in her regular voice instead of the chicken one. So it won't be weird that she suddenly talks differently, because it's another phoenix life we're seeing.