Well that symbol is ancient and has been widely used by people for thousands of years. Assassin's creed did not invent it, and it has been, like many other symbols of the same style, a symbol of continuity, of multiple dimensions, etc. So there's no problem with that. Not everyone thinks of things only in the context of what they see in other video games.
My only question is, are you using the Order ID/ IFF? Or did I miss that part? Was it always straight up Order in the past? I don't think I was around if there was an original Cerberus group.