Considering that these "finest minds" mostly come from an era where slavery is not a problem, and that Plato's ideas on personal relationships—as logical as they might be—have nothing to do with how humans relate to each other, well, the experiment would be interesting to watch.
Jo Walton pushes the thought experiment by giving us well written characters, a fantastic setting (Atlantis was real!) and sci-fi musings (do robots have souls?), and uses the rules of the experiment to make us question it (thanks, Sokrates).
I really enjoyed this book, but I'll wait a couple of weeks at least before opening the second volume of the series—I don't want to burn out on it.