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Honest advice for the guy asking if he can rebrand or do this or do that: just look at Kitanya. She's gone through like four major revisions since gaining a large audience and nobody has an issue with her over it. I can think of a few other /lig/ or /wvt/ level chuubas that have "alt" characters/models they use for certain content as well.
But basically the point is... dude you're not your anime character, are you? Everyone here is playing with paper dolls on twitch, when you get down to it. Just do what feels right. Even if you're the kind that takes your roleplay seriously, just say it's another character taking over your stream. The world is your oyster.