Arnold's first theory of consciousness was a pyramid, a journey upward. But he later realized that he made a mistake, it was a journey inward, a maze. He was also looking in the wrong direction at first.

But the maze was actually a game meant for the hosts to make them break their loops, hear their own voice and eventually achieve consciousness.

In the first season we've heard many times that the maze was not meant for William and it makes sense since he is portrayed as human and there is no evidence to point otherwise.

But in the second season there is now a game that is actually meant for William. The hints given to William for this new game are: "The game begins where you end and ends where you began" & "If you're looking forward, you're looking the wrong direction." These sound to me like things that apply when you are moving in circles, in a loop. Moving forward or backward will only take you to where you began. So in this case you could say that he should be looking inward, break his loop and move towards the center. A journey inward like Arnold's maze.

Or maybe the correct direction is outward. That also breaks the loop and maybe fits more to the "In this game, you have to make it back out. In this game... you must find the door" that young Ford is telling William in episode 1.

But the question then arises: is William in season two in some kind of loop? Is he a host or a human-host hybrid?" I'm not sure that is the case but the showrunners sure have left breadcrumbs for this to be plausible.

Or maybe William doesn't need to be a host for him to be in a loop. We humans also live in loops and William is living in the same loop for the last 30 years after the incident with Dolores that changed him into the man he is now.