This is an interesting idea, but firstly, it's unlikely to be necessary to rank non-solving players, as they will always rank below anyone who does solve the level. Secondly, because levels can have very complex terrain, it's an extremely complex task to get as close as possible to an exit in absolute distance, and time-consuming for the contest organiser to check what was the closest distance reached by enough lemmings. If the solver has time to optimise this metric, they would probably be better off putting that time into looking harder for a solution

Finally, this metric seems unfair because absolute distance can have very little correlation with difficulty of reaching a certain distance (remember "The Far Side"?) I think a better metric for ranking non-solutions would be (1) number of lemmings saved; (2) whatever the criteria for the current contest. Note that number of lemmings would
always rank ahead of specific criteria, even if there are some criteria that rank ahead of it for solving replays. The reason is that saving a single lemming while maximising (or minimising) the contest's specific criteria is further from being a valid solution than saving one or two below the save requirement.