Based on what I know, I'm going to say this is an alternate version of the Wind Waker timeline. Yes, another split.
We know that it has to be some time after Ocarina of Time, since Ganon was apparently around for a century. However, it can't be too removed from that setting, or Sheikah artifacts would be much more scarce. Twilight Princess is the only post-Ocarina game with a good helping of Sheikah, Nd it was in the foreseeable future without an apocalypse.
If the goddesses didn't choose this Link, like in the Adult timeline, that would explain his lack of Green Tunic. So perhaps this is an alternate universe where Hyrule wasn't floded, but still devastated by Ganon. The Sheikah could still have been around, and would have the magitek to do the crazy stuff we see.
Love and tolerate.