First, let me say that working on the Three Hinge Actions on the chipping green is exactly the right thing to do. Follow the prescribed path of 12-5-1, the Basic Motion Curriculum, and you are definitely on the right track. If you can apply them here, you can apply them in your full Strokes. If you cannot, then you have no chance as the Motion gets bigger.
Properly executed, each of the three Hinge Actions are equally accurate. However, Ball Location and Impact Fix Clubface alignments (2-J-1) are critical.
The Vertical Hinge Action you describe should produce zero directional deviation left or right. However, I would not be surprised if you experienced inconsistencies in trajectory, because the constantly laying back Clubface of the Vertical Hinge can produce such variations, especially when Ball Location changes (relative to the Left Shoulder).
The 'hop to the right' of the Angled Hinge is consistent with its Slicing, uncentered Motion.
If your Horizontal Hinge Action chips are hooking, you are 'over-rolling.' Per 2-G this over-roll -- or under-roll -- produces misalignments that can be as devastating as Throwaway. You must master the Hand Motions required for accuracy or else use another more 'familiar' Hinge Action.
From a practical standpoint, the Horizontal Hinge Action is used for normal or long running Chips. The Vertical and Angled Hinge Actions are used where more ballistic trajectories and better 'bite' are required.
The reason top professionals can produce the appropriate Ball response for each of the Three Motions through Impact is that they spend hours and hours each day attempting to do just that.
Don't despair. Just keep working -- on the right G.O.L.F. ideas! -- and you'll get better than you may now believe possible.
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