Putter design and hinging

[rchang72]

In TGM, the discussion of the putting stroke (actually all the strokes) assumes that the clubshaft is angled and that the club is hook-faced. Wouldn't newer putter designs, e.g. face-balanced putters, long-putters, etc., change how the putting stroke. Older blade models and Ping Anser model putters, the face is balanced to hang at about 45 degrees to the horizon. That should work better with angled hinging. But with most mallets, the putter is balanced so that the face is parallel to the horizon. Wouldn't that favor not closing the face and using vertical hinge instead?