The correct answer to this open question is the following.
The three reasons John Greene gives to defend why the world would be better off if Persia won against the Greeks are these ones.
1.- Persia was a great empire to live. He said Persia had more successful empires in all senses, that the Greeks.
2.- John Greene said that slaves and women did not have the kind of life men enjoyed in ancient Athens. The government of Athens was corrupt.
3.- If the Persians had won the war, the Peloponnesian War could have been avoided. No destruction and hate between Spartans and Athenians. This war, in the end just weakened Greece,
This topic is part of the Crash Course "The Persians and the Greeks,." In this course, one of the important points is thinking that sometimes history is biased by the men that write the events. In this case Herodotus.