We get old and die because we are disconnected from God, the Source of all life, because of sin. The "right to rule" explanation is a subterfuge meant to provide an alternate explanation of Jesus' sacrificial death. It is an attempt to eradicate the doctrine of substitutional atonement.
Jesus Christ died in our place when He was crucified on the cross. We deserved to be the ones placed on that cross to die because we are the ones who live sinful lives. But Christ took the punishment on Himself in our place—He substituted Himself for us and took what we rightly deserved. “God made him who had no sin to be sin for us, so that in him we might become the righteousness of God” (2 Corinthians 5:21).The believer and Jesus substitute for each other.
“He himself bore our sins in his body on the tree, so that we might die to sins and live for righteousness; by his wounds you have been healed” (1 Peter 2:24).
Here again we see that Christ took the sins we committed onto Himself to pay the price for us. A few verses later we read, “For Christ died for sins once for all, the righteous for the unrighteous, to bring you to God. He was put to death in the body but made alive by the Spirit” (1 Peter 3:18).
Not only do these verses teach us about the substitute that Christ was for us, but they also teach that He was the atonement, meaning He satisfied the payment due for the sinfulness of each of Adam's children. .