No.
These are two different questions.
1) Is it just to punish an innocent man?
2) Did an innocent man receive punishment?
And I am not begging for anything on my hands and knees. Please do not insult me.
Yes, it is indeed unjust to punish an innocent man.
It is also unjust to place the sins of guilty man on an innocent man.
Unless the innocent man agrees to take the blame and be punished for the guilty.
Do you disagree?
It is not even just for the guilty not be punished.
And on the cross, the Lord was not only making atonement as in shedding innocent blood as far as His own life was concerned, but had our sins placed upon Him, being the anti-type to the OT scapegoat:
And Aaron shall lay both his hands upon the head of the live goat, and confess over him all the iniquities of the children of Israel, and all their transgressions in all their sins,
putting them upon the head of the goat, and shall
send him away by
the hand of a fit man into the wilderness: And the goat shall bear upon him all their iniquities unto a land not inhabited: and he shall let go the goat in the wilderness. (Leviticus 16:21-22)
That goat was not to come back, for it was (symbolically here) laden with sin, though actually not guilty of any. Likewise,
All we like sheep have gone astray; we have turned every one to his own way; and the Lord hath laid on him the iniquity of us all. (Isaiah 53:6)
To wit, that God was in Christ, reconciling the world unto himself, not imputing their trespasses unto them; and hath committed unto us the word of reconciliation. (2 Corinthians 5:19)
For he hath made him to be sin for us, who knew no sin; that we might be made the righteousness of God in him. (2 Corinthians 5:21)
I suppose you want to argue that the above does not mean Christ was punished for our sins, taking stripes in our stead, but only suffered for our sins, but if that was sufficient then why would the Lord lay all our sins upon Him, bearing them in His own body, and suffer as one who was guilty? Do you deny that he did?
Note also that I do not hold that a person must understand the differences here to be saved, only that Christ, the sinless Son of God died for our sins and rose again as savior and future judge. But it becomes an issue in the light of Catholic justification and the need to actually become good enough to enter Heaven.