One of the popular worship songs in the past 20 years called "Our God Reigns" states the following in the third verse.
It was our sin and guilt that bruised and wounded Him
It was our sin that brought Him down
When we like sheep had gone astray our Shepherd came
And on His shoulders bore our shame
According to the doctrine of Limited Atonement, Christ died only for the elect and only their sins were paid for on the cross. If that is the case would it not make sense that those who will go to hell are not guilty of Christ's death since their sins were not laid upon His shoulders? They cannot be held liable for His death since it was only the sins of the elect He bore? Does that make sense?