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If all parts were well toleranced then there should be very little, but given that we think barrel nuts are a useful feature, then we should assume there is some movement and therefore friction plays a part in the clamp force. If the slots are opposed, then the clamp and frame surfaces are effectively moving in opposite directions when the screw is tightened.
What's the theory here? In my head, if the slot is offset then you are unnecessarily adding the friction of the clamp / frame surfaces into the equation. If the slots are aligned, then there is a much more direct translation between the torque you put on the screw and the clamping force on the seatpost.