Obviously there couldn't be recounts but since there wouldn't be "outlier" elections (where someone would win by an unusual five votes), that wouldn't matter as much. (Of course, every election could be an outlier so this might not make it pleasing)

The result clearly wouldn't be fair in our normal sense of fairness and that would indeed be a huge roadblock.

The only appeal would come if a given system looks both unfair, unprincipled and corrupt. Then "just unfair" might be better.