Aside from non-american/canadian people recognising a "zamboni".
(i did.. thanks to Plants vs Zombies
)
Technically every order could be "correct" as, given enough time, every situation can exist after the next one since that zamboni combined with the skaters are able to reset the puzzle in a certain way.
This could be fixed by not fixing the ice 100% but only partially, though that would make the puzzle a bit (too) easy.