What P040F usually means
P040F is not a simple open-circuit code. It means the control module can still see both EGR temperature sensors, but their relationship no longer makes sense. That can happen when one sensor is biased, when soot or thermal mass changes how quickly the system heats, or when an EGR cooler or passage issue makes one side of the circuit behave abnormally. In practice, P040F is valuable because it sits at the border between electrical diagnosis and real EGR hardware performance.