God did not suffer any loss when man sinned so there was not loss to absorb.
He has suffered a lot of grief though. I wonder whether you will accept the idea that this equates to losing joy.. Genesis 6:6 supports this.
Sin does not create a debt. It separates one from God.
Not always. If one loses something due to sin (eg, a loved one is lost according to a murderous sin), that loss accumulates hurt, which most often manifests as resentment to God. God may lose the love of that hurt one as a result of that sin, so the sinner in that case has caused a loss to God, and therefore has accrued a perceivable debt. This principle can be followed even to unloving acts done by His own woshipers, who in treating others in an ungodly way, generate resentment toward Him by those who if not for the sin, might have come to love Him.
The reason the judge allows them to be forgiven is because another (Christ) volunteers to pay those debts for you.
Can you please state the location of your scriptural basis for this belief?
In our case, the "sin debt" that we have is death and separation from God. Christ volunteered to die to pay the debt by being killed to make atonement for sin and bring forgiveness (Heb 9:22). He then rose again and defeated death (II Tim 1:9-10). This removed the curse of sin and brought justification for all who put their faith in him (Rom 4:25). (This paragraph is really just a rewording of what fatherjimparker posted.)
You can see as fatherjimparker has said, you have somewhat distorted what he said in order to promote your own understanding. Actually I can see vast differences in your view of the gospel to his, so I encourage you to acknowledge that. Even so, I wish to remind you the mecahnism by which salvation is achieved in Christ Jesus:
In the beginning before Adam and Eve's 'fall' (to partake of the knowledge of good and evil), the tree of life was made available so that they could live forever. There is no scriptural indication that they would have lived forever apart from having access to this tree of life. This is also supported by Genesis 3:22, wherein God decides to prevent Adam and Eve from accessing the tree of life so that they should not live forever. Notice here, this is not a punishment in wrath or anger, a penalty for sin, but apparently a preventative measure for some sort of protection, seemingly a result of God's wisdom. Read these words specificaly: "Behold" ... "And now, lest" - in the paraphrased version "New Living Translation", the translator's context is given this way: "Then the Lord God said, “Look, the human beings[e] have become like us, knowing both good and evil. What if they reach out, take fruit from the tree of life, and eat it? Then they will live forever!” ".
.. So we see that the certainty of death was imposed on Adam and Eve on the very same day that they chose to partake of the knowledge of good and evil. In Revelation 2:7 we see how salvation is achieved in Christ Jesus:
"To him who overcomes I will give to eat from the tree of life, which is in the midst of the Paradise of God.”’"
.. We see a promise here from Jesus Christ that He will give fruit from that tree of life, that is guarded by cherubim and a flaming sword. Notice in this: we are not promised access to the tree of life ourselves. This indicates that only Jesus has access to this tree of life, but that He wishes to share it with those who "overcome" or "are victorious". This is the mechanism by which everlasting life has been achieved in Christ Jesus.
Notice in this, that Jesus decides who is given this fruit from the tree of life. This ties in with Matthew 7:21 and John 10:27, wherein He declares His faith in His followers: "yes I know this person, he listens to me, and he does the will of my father in heaven".
So when the gospel is viewed in context of this mechanism, it is possible to view those scriptures you presented without relying on a Penal Substitutionary Atonement doctrine. Furthermore, with this understanding of the mechanism of salvation as being according to Jesus Christ's personal trust in us, I view with scepticism any claims of a magical granting of everlasting life based on some ritual-based cancellation of debt, especially that seem to be simply granted to some who accept a given belief and not to others who don't. Redemption from sin (which I have not mentioned here) and everlasting life just do not appear to work that way.