BurningLeaf is Red/Leaf. Chess is Touko/Touya. (Red/Green from Special are Specialshipping.) Unrelated. No renaming. We don't do renaming as a general practice.
Futaba and Twinleaf refer to the same two characters: Dawn and Barry. There is no anime/game distinction between them; they're two different names for the same pairing. Platinum/Pearl is Haughtyshipping.
And once Cheren/Bel is officially named, it'll cover games, manga (every one they appear in), and anime (if they appear). One pairing, one name.