In response to your assumption: A blanketed no. We are not culpable for the sins that predate our existence, i.e. slavery, and Adam and Eve's disobedience to God's commands. However, if anyone thinks that he is sinless, he is disillusioned: “If we say that we have no sin, we deceive ourselves, and the truth is not in us.” [1 John 1:8] Now let's look at a topical, anecdotal scenario that ties us into the relation of our original parents' sin: We know that receiving this Covid 'vaccine' would be a bad idea. But let's argue that we decide to receive it anyways due to our own free will granted to us by our Father, and we are somehow coerced into receiving it due to some purposed benefit from the 'adversary'. The adversary says something to the likes of, "In order to buy and sell you will need this 'vaccine'." As we might find out, this new 'vaccine' alters our genes and we are no longer in the perfected state that our Creator defined and made us - we have now become corrupted. There is nothing that we can do by our own accord to correct this corruption, and continue to live with the circumstances. We then decide to bare children (if even possible), and our children then inherit our corrupted genes. Our children now inherit our corrupted genes, even though they were not culpable in the decision of our disobedience. Still, there is nothing that they can do, by their own accord, to resolve their inheritance of incorruption. Now let's say that the children come to the understanding that their parents made an ill-informed decision and should never have received the 'vaccine' in the first place. But then a new strain 'emerges', and the 'tempter' is successful in supplanting the same doubt unto the new generation as was the first. The children, who are now adults, decide to receive the next inoculation to the 'new strain' because of the doubts and false promises of the original snake-oil salesman. You can see that this scenario could play out ad nauseam. Now just like in this scenario, the corrupted ones are only culpable for their direct involvement in the denial of God's commandments. However, you can see that the only way for the corrupted ones to be reconciled to their originally designed stature, they would need the service of a tremendous Physician. Jesus is our Physician, hence why His teachings are called 'doctrines'. Jesus has come to reconcile the whole genealogy of their denial of God's commandments. Not only did he receive unto His shoulders the sins of the ancient days, He also paid for the sins that were to take place after His sacrifice. We only need to repent of our disobedience and follow his doctrine in order to receive Salvation.