Original sin is a Christian interpretation. Judaism does not have original sin. Since Genesis is part of the Hebrew Scriptures, one could conclude the Christian interpretation is mistaken.
That would not be a logical conclusion any more than the Catholic claim that since they (claim to) gave us the whole Bible then they are the infallible interpreters of it.
In this case both are wrong. While David said that "Behold, I was shapen in iniquity; and in sin did my mother conceive me," (Psa 51:5) Moses said (regarding judicial punishment) "The fathers shall not be put to death for the children, neither shall the children be put to death for the fathers: every man shall be put to death for his own sin," (Deuteronomy 24:16) And others affirmed likewise. (2Ki 14:5,6; 2Ch 25:4; Jer 31:29,30; Eze 18:20)
And there is a (varying) age of accountability, "before the child shall know to refuse the evil, and choose the good." (Isaiah 7:16; Deuteronomy 1:39 )
And Scripture also only teaches that sinners will be judged according to what they did (relative to light and grace given) not others.
However, that man inherits a sinful nature is clear:
The wicked are estranged from the womb: they go astray as soon as they be born, speaking lies. (Psalms 58:3)
Foolishness is bound in the heart of a child; but the rod of correction shall drive it far from him. (Proverbs 22:15)
The rod and reproof give wisdom: but a child left to himself bringeth his mother to shame. (Proverbs 29:15)
Therefore while dedication of infants to the service of the Lord is Scriptural, (1 Samuel 1:24-28) infant baptism of them is nowhere manifest despite baptism (which flows from the principal of water of purification) being commanded and exampled, and the critical importance of paedobaptism in Catholicism.
Original sin is a Catholic doctrine. Lutheran/Calvinistic Protestants believe in something called "total depravity" that makes original sin seem like a wimp. Meanwhile, the ancient eastern and oriental churches don't believe in original sin at all. They claim it's an invention of the "west."
Incidentally, this is what made me a Noahide. I was reading an Eastern Orthodox booklet a friend had lent me, and the author was simply ranting and railing about the "arch-heretic Augustine" and the "pagan Greek" doctrine of original sin. He said the true doctrine of human nature is taught in the Talmud. Yes, he actually said that! I had been noticing as I went from Protestant to Catholic to Orthodox that with each one human nature was less messed up (an Orthodox priest told me there was no difference between me sitting there talking to him and Adam in the Garden!) What is the purpose of chrstianity or the crucifixion of there was nothing wrong with us to begin with? We already had a religion of morality and ritual, and it certainly didn't need to be replaced by another one. I concluded immediately that what wasn't broke didn't need fixin'.