(Gen 2:17 KJV) But of the tree of the knowledge of good and evil, thou shalt not eat of it: for in the day that thou eatest thereof thou shalt surely die.
That is not an interpretation, that is a quote. I do agree that we are judged for our own sins, but mortality came because of Adam's sin, and the penalty for sin came upon all men because of Adam's sin and that is the reason for a Saviour.