The Song of Storms loop is an example of what's called a Bootstrap Paradox. It's difficult to think about because such a thing is its own origin, ultimately having no true origin. One possibility for the beginning of the loop, however, would be if it were inserted from an erased timeline...
No, I've not heard of this one. It's certainly interesting, and makes sense if the power of the Triforce is capable of manipulating not just what is within the spacetime continuum, but the continuum itself. I gotta ask, though: Do we know the exact wording of Link's wish? I have a feeling...
If a newbie may, I'd like to say why the idea of the Downfall Timeline rubs me the wrong way: Multiverse theory. The idea is that for every choice we could have made, another version of us makes a different choice. There could even be a universe where I'm doing everything the same, but two...