Depends on your definition of Original Sin and your use of the analogy regarding 'death.' I'm fine with the 'again' application above for the same reasons you are, but I can still affirm Original Sin in that we are all born in need of a savior.
Even Adam was made with a need for Christ...the law simply revealed that truth.
Adam did not need a saviour until AFTER he sinned, Jesus came to save us from our SINS, not our nature.
Mat 1:21 And she shall bring forth a son, and thou shalt call his name JESUS: for he shall save his people from their sins.
The point is, people just assume doctrine like Original Sin is true, and do not actually look at the words of scripture. Jesus himself said the prodigal son was alive AGAIN, if we are born dead in sin then no man could ever be said to be alive again.
As you said earlier, Jesus came to reconcile us to God. You have to have had a previous relationship with God to be reconciled to him.
Peter said we are now RETURNED to the Bishop and Shepherd of our souls. You cannot return someplace you have never been.
Words have meaning, many folks seem oblivious to the words of scripture.