I've been thinking a bit about the "Kerning" process - a way to make it more effective.
The idea would be to put something at each corner of the cutting board sitting on the cheese in the photo above such that it would limit the amount of slump and assure that it did not cause the cheese to become lopsided. Suppose you put four dowels (thick enough for them to stand on their own) at under each corner of the cutting board. The length of the dowel might be a half-inch shorter than the initial gap between the counter top and bottom of the cutting board. The weight, then, could push the cheese down only a half-inch and would do it evenly as the cutting board bottomed out on each dowel.
Of course, to preserve symmetry the cheese should be flipped several times in the process.
I have no doubt, whatsoever, that Dr. Awake (awakephd) could come up with something elegant that would adjust for cheeses of different initial thicknesses (thicknae?).