From what I know of the Hal Houle point and pivot system, it has to do with actually pivoting the cue itself slightly. See this image:
The pivot point is the pink dot on the cue. The blue line is the initial line up method that you would manually have come to with just eying the shot.
Align the the cue about 1/2 tip off center from the cue ball so that it points directly at the center of the object ball. NOTE: If the object ball is closer to the cue ball, the offset increases, and if the object ball is farther away, it should decrease.
Ignore the cue ball at this point, other than to ensure that the cue tip offset is the required 1/2 tip distance from center (Approximately 6mm).
The white ghost ball track in the image represents the ghost ball track if one used the blue aiming line.
The majority of players unskilled at this system would automaticlly play imagining the blue line or pointing a the blue spot which is the core center of the OB.
Once aligned, pivot the cue at the pink pivot point to the center of the cue ball. It will align properly to the green line and should ensure a successful pocketing of the object ball.
Hope this helps clarify the pivoting aspect of the Hal Houle Point and Pivot System article