There used to be regulations that essentially allowed for any pop that had only 1 way to reassemble the pieces would be solved, which was already confusing and ambiguous enough and led to difficult calls. Allowing edge pops and other kinds of pops where there's only 1 *possible* way to reassemble the puzzle would require judges to have knowledge of the puzzle on top of this, making the line between solved and not solved even blurrier.
Kind of similar to how implementing clock +2s would require judges to know the way the puzzle works, it's far from obvious what "1 move" is on a clock.