It seems our posts are irrelevant to the thread topic. Anyway, what you wrote can be understood only through a Christian perspective, not broader than this limit. Still those conceptions are made up because we do not find Jesus anywhere in Bible mentioning Adam and the sin, we have plenty of crucifixions and disobedience to God, why Jesus' crucifixion makes all other crucifixions and sins insignificant? the Jews (or Romans) crucified him for different reasons from what Jesus died for, did Jesus say that he is going to die for "atonement" of the sin so that God can reconcile with mankind? those and many other questions rise and neither Bible nor Christian theologians have a clear and satisfactory answer. it is clear that those ideas and doctrines never mentioned in Bible but are mere man made and inserted into Christianity.
Still what you wrote can be understood if there were verses in Bible confirm it, or Jesus himself state it, but we do not have
Peace to you