Or they could be visiting Jason Bourne in his dreams, haunting him every night when he goes to bed. That would be awesome.
This original character I created: monguin.deviantart.com/art/Sir… was visited by the Knights of the Round Table in his dreams as he woke up to become a superhero with all but one single super-power: divine intervention. He's a paladin, and is a member of the group that, in my story, the Templars were cut off from.
I'll say no more as I have a fan fiction series of my own.
In AC4 he just hadn't met his second wife, Tessa, Haytham's mom, yet. (Besides, the Animus can only replay an ancestor's memories from before the next ancestor in line is conceived. Except for Ziio, her memories are special.)