Out of curiosity, has anybody done any work along the lines of swapping the rows, columns etc of an non-symmetric puzzle to give it a rudimentary symmetry?
Would I be right in thinking that (as long as swaps stay within chutes etc or that whole chutes are swapped) doing this would have no effect on the puzzle's difficulty? (Ignoring the fact that certain clues might be easier to see in some arrangements than in others).