I'm trying to wrap my mind around why one thread direction would push in, and the other push out.
Best theory I can come up with is that -either- the blade notch isn't absolutely square with the axis of the screw (so the left side of the notch (where the periphery of a RH screw would be moving outward, inward for LH) is just a tad lower) -or- the blade itself is slightly tapered along its arc. If the latter, the in/out action of the screws would be the opposite if the clamps were placed on the "other side" of the blade, and users would have to be cautioned about where/how to apply the handles.
Needless to say, I'm totally fascinated by this "engineering problem."
Also wondering if it might not be a good idea to round the ends of the clamp screws, so they make contact with the blade only at their centers.