The LNAV pushbutton arms/dearms or engages the AFCS into the lateral control mode selected on the NAV switch corresponding to the PILOT ID switch.

The statement is accurate because the LNAV (Lateral Navigation) pushbutton is indeed responsible for arming or engaging the Autopilot Flight Control System (AFCS) into the lateral mode that corresponds with the selected NAV switch and the current setting of the PILOT ID switch. When the LNAV pushbutton is activated, it allows the autopilot to follow the lateral flight plan as defined by the waypoints or routes entered in the flight management system. This functionality is crucial for maintaining precise lateral navigation during flight operations, enabling the pilot to focus on other aspects of aircraft management. Therefore, the correct understanding of the LNAV pushbutton and its role within the AFCS confirms that the statement is true.