Yeah but it isn't constrained to a timer. It was a flawless puzzle game I stopped and thought a lot. But you were never penalized or story wised died from stopping. Just stand near a coil or be an idle ghost.
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While I see your point, again the twist we added is if you stop(move from the coil), you die since frank can't live without it. The die part is just becoming a ghost.
It still focuses on the theme, just not in the "traditional" many expect: An endless runner where if you get hit, you stop and die(die being the game over)