There are several coordinate systems going when you work with a rig. First there’s the world or global. This is the one you seem to be looking at. Rarely is this ever changed on a rig. This is what you see as the origin in object mode. Then there’s local coordinates. This defines the reset position of the bones. This is defined in edit mode of the armature. Then there’s the pose coordinate system. Sometime referred to as Normals coordinate in blender community. This is defined in pose mode and this is where the animation information is stored for each bone. All bones are controlled by a root bone. This is in the hip area for Maximo if I remember correctly. This is the bone the would be used to move the entire animation if you wanted a jog cycle to go in a circle or anything other than a straight line. This is most likely the bone you want to parent or use a child of constraint your camera to so that it moves with the entire character.
