I commend the research and piecing together of the theory. I think Bungie's next game will have a brand new story that we cannot predict. I actually would have it no other way. As much fun as it is to look into a storytelling tradition between franchises, I would hate to think that Bungie was somehow trying to pingeonhole a story or themes into a game just to continue a legacy. The fact that this new IP is a brand-new start is really exciting in my opinion.
Although, I wouldn't be surprised if something like this showed up in a minor way or even as an easter egg.
Good job!