The most important aspect of the cross is the incarnate reality of God become the man Jesus. It is the incarnation that seals in a covenant of blood the salvation of humanity with all of humanity.
History does not exist in a paradisical world where time has no meaning. Without birth, death, and all the violence in-between, there is nothing to record for the bliss of every moment is continual, without disturbance. Life in paradise is peaceful, joyful, without need or desire.