Fridge Brilliance: Of course Yukio didn't forsee Yashida's death, because he wasn't really dead.
To be fair, she didn't foresee him actually dying at the end of the movie either.
You know what, we never see his dead body after he gets thrown out the window by Logan. Maybe he's still alive?
Yashida keeps calling Logan "kuzuri" at his sickbed before his fake death. While "kuzuri" is allusion to a mythological japanese creature with huge claws, it also sounds a lot like "kusuri" or medicine. Guess "who" is the medicine that Yashida plans to obtain to become immortal.