In my entire FFXIV life, I never found this FATE (He take it with His eyes). And it was not for lack of searching, waiting ... and waiting ...
I believe, somehow, the FATE window could be adjusted (to happen more times) or, perhaps, could have its own weather (like Odin, Coerlregina and ProtoUltima). It would be easier to identify, since everyone already knows where it happens.
Even in hunting LS, no one knows when find It (just where).
I know, its an old content, but I want have the chance to beat It once. And I believe that Im not the only one.