These various embodiments can be deployed in conjunction with a movable barrier (100) and an end user manipulable lock hasp (300) and generally provide a movable hasp-blocking member (301) and a transport member (302) that can selectively move that hasp-blocking member between a hasp-blocking position and a non-blocking position. By one approach, this transport member further comprises a locking component (305) that readily permits the movable hasp-blocking member to be pulled from the hasp-blocking position towards the non-blocking position but that resists pushing of the movable hasp-blocking member towards the non-blocking position. These teachings will also generally provide for a barrier mounting member that is configurable to secure the movable hasp-blocking member and the remotely controllable transport member to the movable barrier.