Based on general gameplay videos I've seen, I think other bosses beyond master hand can appear in Classic. That said, I really hope boss battles-1 From Brawl returns
Also, I looked up "Yoshi's Tale" because I wondered if it was like keeping the japanese name or something. It turns out that on a soundtrack or two, that's actually what the ending theme to yoshi's story is labelled as, which seems to be going with the attempts to more accurately name music (In a way, I think it's similar to how, while the name "bramble scramble" described it's first level of use when the song got used for brawl, the song has now gone to the official DKC2 soundtrack name of stickerbrush symphony). That said, so far I'm not 100% of any case where the level name/descriptor for original use in game is still used in place of official soundtrack names so far.