You left out the Goddess Sword, which is in the possession of the Forgotten Temple goddess statue. That taken by itself would be mind blowing, but is complicated by the white sword, as well as the other items generally.
OOPS. Okay, it's just the Goddess Sword.
Still the fact the goddess...
Other than the "powerful and wicked man" part, you could argue that the OoT sages became the Divine Champions of the Calamity War in BOTW's past. Maybe the powerful and wicked man was just a Phantom Ganon avatar. Yeah, that's a stretch.
So my theory is that Skyward Sword was made when the three timelines were canonized, so they made Skyward Sword specifically planning a fourth timeline to repair everything back into one. BOTW and TOTK being in this fourth timeline, but the story hasn't concluded yet.
I specifically think the...