If He took our stripes it is so we can live. And the scripture states we are healed as in will not die.The punishment for sin is eternal damnation.
Is Jesus eternally damned?
Yes, he suffered for us but he was not punished in our place by the Father.
In his passion and death Christ gave himself up for us, a fragrant offering and sacrifice to God. (Eph 5:2)
Heb chap 8&9 are about Jesus offering his sacrifice as atonement.
I think this explains it well
In his mediatorial role, Christ, living a sinless life and dying a selfless death, obtains favour from God so that he can approach and beseech Him for mercy and forgiveness on behalf of sinful man. God is not required to offer forgiveness, yet Christ’s sacrifice appeals to the intrinsic love and longsuffering of God. Christ as the obedient son who sacrifices himself, intercedes to obtain the mercy of the Father for those who are to be adopted in God’s family. From his paternal qualities of pity and love, the Father grants an avenue of forgiveness for mankind. (How Can I get To Heaven by Robert Sungenis)
But he was pierced for our transgressions,
he was crushed for our iniquities;
the punishment that brought us peace was on him,
and by his wounds we are healed.