If anyone manages to activate the Cor cutscenes like
@Bazztek did, go back to the base before fighting Ifrit and see if you can trigger some special dialogue with Cor. There's some pretty emotional stuff I found that only triggers when you visit Cor (it may be after he's injured) and talks about Noct and his parents, but we haven't found it yet.
This could also be the emotional dialogue that Ray was hinting at (Even though I've also seen emotional dialogue between Noct and Luna that is seemingly not in either)