I think you're confusing the Japanese Mythology of Susano'o with the anime's explanation.
The anime explained as an ability gained by someone who had awakened the Mangekyo in both eyes. Which, I suppose, by that wording, you could TECHNICALLY say that once gained, you just have that power. But it seems really dumb that a power that was linked to your eyes wouldn't need your eyes to use it.
I just assumed it was some variant of the Almighty Push.