If one performs a two-handed basketball pass starting from the right side, the hands have to move in a circular motion, and not a straight line motion. Therefore, the first part of the throw motion has the ball moving down-and-out-and-forwards before it move up-and-forwards towards the target.
Also, I presume that Hogan was mainly trying to give a golfer a "feeling" of how the hands move in space. The key point, from my perspective, is that there is no independent right forearm pronation movement and no independent left forearm supination movement when throwing the ball - because that would cause the ball to spin around an imaginary horizontal axis through the ball's center.
The hands rotate in space during the ball throwing action - due to biomechanical actions occurring at the level of shoulder sockets + due to rotation of the torso (which move the shoulder sockets in an arc).
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