Ezekiel 18 speaks of personal responsibility for the punishment of sin. God held Adam and Eve personally responsible for their sin and took away their "eternal life privileges" and they did die. Since that time, a doctrine has arisen that we are all under the stain of this "original sin" even though we had nothing to do with the decision.
I think it should be understood like this: Since Adam and Eve no longer possessed the attribute of eternal life, they could not pass that attribute on to their children. God no more punished Adam and Eve's children with death, than a man who punishes an unfaithful wife by killing her also punishes the children who would have been born to her (and the children of those children, and so on) by not letting them come into existence.
We always make decisions for the generation that comes after us. Adam and Eve, being the first parents, made a particularly wide-ranging bad decision. It's not about sin and punishment, but about natural consequences for behavior.
I absolutely spurn, discard, spit on, and crunch under my heels any church, mosque, or synagogue that says the souls of infants who were aborted or left in a dumpster to die go to Baby Hell because they didn't get baptized or circumcised or say the magic words "IAcceptJesusChristAsMyPersonalLordandSavior" or whatever else it is they have to do to overcome a mistaken notion about Original Sin.