I think the important distinction is games that have a story in them, compared with those that use the medium to tell the story in a way that other mediums cann

I think the important distinction is games that have a story in them, compared with those that use the medium to tell the story in a way that other mediums cannot. I can't attest to Destiny and my memory of Deus Ex is hazy but all the other games you listed are firmly in the second category.