What a great thought provocative post! Let me start by answering your question. No! I wouldn't, for way too many reasons! I had the chance to see the male version of me and as much I enjoyed the connection, I realized that it would drain my energy and drive me nuts to be around.
We don't want to see our flaws or be reminded of them daily, we look dor the opposite of what we are in our struggle to achieve a balanced life.
As for being the same, that is a delusion. We are all unique and no one can experience exactly what we do, have the same thought or memory as us. We perceive things differently.