The results of Adam’s sin, death, is imputed to us. But I’m not going to be condemned to hell because of Adam’s sin, but my personal sin.
12 Wherefore, as by one man sin entered into the world, and death by sin; and so death passed upon all men, for that all have sinned:
13 (For until the law sin was in the world: but sin is not imputed when there is no law.
Death is spiritual separation from God, who is the source of all life.
So, I am not sure what you are saying.
Unless you are claiming that Adam's sin only means that man physically die.
I would say, no, that isn't true..because the context of Romans 3-6 indicates that mankind as a whole is dead in sins and tresspasses, and without hope. This isn't talking about physical death, but is talking about spiritual death.
Adam's sin led to condemnation for all men. Condemnation is spiritual.
Romans 5:12-17. I would refer people to Ephesians 2:1-10, Romans 1-6, also.
I know that free-willers cannot conceive of being held accountable for someone else's choices, but that is in fact what Scripture says. And it is a wider concept in Scripture as a whole. Many in the OT were held accountable for their leader's decisions, or for the rebellion of their family head. For example, Achan's family was put to death for his personal sin. Korah, Dathan, and Abiram's family suffered the same fate. And, the people of Israel suffered for David's personal sins.
Corporate headship is a biblical concept, whether free-willers think it is fair or not. God isn't interested in their concept of fairness.
It isn't "fair" that Jesus' righteousness is given to sinners as a free gift, either, but God does it, on the same basis as the imputation of Adam's sin to mankind....imputation.