Honestly I think I am a little burned out on the same old protect/recover the triforce storytelling, even if it does go back to the beginning of the series. I have learned to appreciate the games that do not have it as the main focus of the story as they actually bring something new and different to the player.
That said, I do think it might be interesting to actually see someone else, a new villain that has attempted to take the triforce for himself. Until TP we have only seen or heard of Ganondorf actually attempting to take it, the Dark Interlopers trying to claim it was a newer event. Which makes sense as the ALTTP manual said that the Book of Mudora inspired many greedy individuals to try looking for it, it would be a prize worth any price and I would believe most people in higher places good or bad would be after it for themselves. From thieves to kings everyone would want to take the item that grants all wishes of those who touch it. I would like to see other villains who are ambitious to go after it besides Ganondorf. And since this game is a prequel that takes place before Ganondorf ever comes around this might be possible, we could actually see the other greedy individuals that are after the power of the triforce and see the reasons why the ancient Sages erected the Temple of Light, Door of Time, and the spiritual stones as a barrier against others entering the sacred realm. ALTTP showed that there are numerous smaller portals to the Sacred Realm hidden all over Hyrule, perhaps these were creations of others who were trying to break into the Sacred Realm on their own in secret. One would think that most villains in or around Hyrule would want the Triforce in their possession, and would take any steps necessary to acquire it.