Technically, by flying just to one particular side of the Runway, an aircraft could be said to be on the Dead Side of the Runway BUT it would never have left the circuit so would not need to rejoin and, at all times, would be conforming to the circuit pattern.
LevelAttitude, poor choice of words on my part - I didn't mean to imply that said a/c would need to rejoin the circuit. That's how I teach it also.