First, most of the Christian Churches do not stress the concept of original sin.
But the moral of the story of the Garden of Eden was and is still very worthwhile. It is a basic statement that says, "When you oppose Gods, instructions, you will suffer."
While Leviticus is big on vesting the sins of the father on the child, that is not true of most of the Bible.
For example:
2 Kings 14:6
Yet he did not put the sons of the assassins to death, in accordance with what is written in the Book of the Law of Moses where the LORD commanded: "Fathers shall not be put to death for their children, nor children put to death for their fathers; each is to die for his own sins."
That is echoed in Chronicles:
2 Chronicles 25:4
Yet he did not put their sons to death, but acted in accordance with what is written in the Law, in the Book of Moses, where the LORD commanded: "Fathers shall not be put to death for their children, nor children put to death for their fathers; each is to die for his own sins."
It's interesting that in the Koran account of the Adam and Eve story, the man and the woman are equal partners and equally to blame.
O Adam! Dwell you and your wife in the garden and enjoy (its good things) as you [both] wish: but approach not this tree or you [both] run into harm and transgression. Then began Satan to whisper suggestions to them bringing openly before their minds all their shame that was hidden from them (before): he said "Your Lord only forbade you this tree lest you [both] should become angels or such beings as live for ever." And he swore to them both that he was their sincere adviser. So by deceit he brought about their fall: when they tasted of the tree their shame became manifest to them and they began to sew together the leaves of the garden over their bodies. And their Lord called unto them: "Did I not forbid you that tree and tell you that Satan was an avowed enemy unto you?"
They said: "Our Lord! We have wronged our own souls: if you forgive us not and bestow not upon us Your mercy we shall certainly be lost." (Allah) said: "Get you [both] down with enmity between yourselves. On earth will be your dwelling place and your means of livelihood for a time." He said: "Therein shall you [both] live and therein shall you [both] die; and from it shall you [both] be taken out (at last)." O you children of Adam! We have bestowed raiment upon you to cover your shame as well as to be an adornment to you but the raiment of righteousness that is the best. Such are among the signs of Allah that they may receive admonition! O you children of Adam! Let not Satan seduce you in the same manner as he got your parents out of the garden stripping them of their raiment to expose their shame: for he and his tribe watch you from a position where you cannot see them: We made the evil ones friends (only) to those without faith. (Qur'an 7:19 27)
Aslan is not a Tame Lion