However, there are a couple of passages that seem to indicate a couple of things. I shall go to him, but he shall not return to me. This is David speaking after the baby born to Bathsheba as a result of their sin dies.
Some people interpret it that way.
And conversely, for the lack of a believing parent, the children are also damned. At some point a child become accountable for himself. And, there were times where parents could bring their children before the rulers for judgment. What age that is, I don't know. Now I say that the heir, as long as he is a child, does not differ at all from a slave, though he is master of all, but is under guardians and stewards until the time appointed by the father.