A good way to see what Scripture is dealing with is to analyze what happened with the Fall.
God caused humanity to be thrown into slavery by causing it to sin, shown in a parallel narrative of Israel becoming enslaved by Egypt (the World) caused by the dream given by God to Joseph.
God's rescue involves throwing light on what Man's need is, something that remaining in the Garden would not have allowed, that need being full union with God, becoming His heirs, needing a heightening of the bad outcome of separation , by placing in an aggravated situation of separation from God.
The transfer from God's partial protection to oppression by the World evoked a different response in Cain to that of Abel, in Caleb to the rest of the Israelites. Revelation is not just progressive, but nuanced . Some results of separation from God , such as oppression and exploitation are obvious, but captivity leading to slavery is different from defeat leading to execution. Slaves are cared for. Slavery is not always by external entities. The enemy is within.
Exodus 16:3
The Israelites said to them, "If only we had died by the LORD's hand in Egypt! There we sat around pots of meat and ate all the food we wanted, but you have brought us out into this desert to starve this entire assembly to death."
Slavery to Egypt/Self
Pros
Better Guarantee of food
Better Guarantee of protection from Canaanites
Cons
Heavy yoke
God
Pros
Light yoke
Possibly of gaining Eternal life (a mode of living) through drinking from a Rock
Cons
Uncertain food
Uncertain protection from Canaanites
Possibility of incurring God's displeasure leading to NOT gaining Eternal life
(Blessed are the meek, they come to their senses a lot quicker!)
What Christ's work (starting from when his time had come to begin his ministry) accomplished :
The Way involves picking up one's cross daily and following God. Priestly ministry begins at 29 years, but Mary's faith causes Christ's work to kick off prematurely :
John 2:3
When the wine was gone, Jesus' mother said to him, "They have no more wine."
Changing water into wine is picking up your cross?
Remember, in a parallel, Moses stepped into Pharaoh's court intending to liberate God's people from the oppression of Egypt.
Jesus came into the world to free his sheep from slavery to its system. This he will do by proclaiming his appointment by God. Confirmed by signs and wonders. Failure to perform these will mean loss of credibility, maybe stoning for blasphemy, leading to death. Success is God raising him up from that death.
I repeat, every successful miracle was a proto Resurrection. Initiated by a proto Crucifixion. The result is a shifting of loyalty: from the world to God.
Matthew 9
8 When the crowds saw this, they were awestruck and
gave glory to God who had given such authority to men.
Of course, no crucifixion is complete without nail marks :
2 Corinthians 4
12 ‎So then, death is at work in us, but life is at work in you
GALATIANS 6
17 From henceforth let no man trouble me: for‎ I bear in my body the marks of our Lord Jesus.
So the Cross results in bringing God's people out of slavery to the World.
But the eponymous work at Calvary did more. God's people were out of Egypt, but Egypt was not out of God's people! One factor that still prevented them from being entering God's rest was the damage they had caused.
Crimes are punished by sentencing. Sometimes the sentencing includes compensation to the injured party. However compensation is not always sufficient. The Cross compensated sufficiently.
Now ALL obstacles to entering God's rest are removed.
Galatians 3
26For you are all sons of God through faith in Christ Jesus.
From this we see that Jesus death on the Cross and his Resurrection
Removed the debt that the sins of humanity incurred, that required a ransom to be paid for freeing mankind.
Removed the ignorance about Gods instructions on how to be freed from the World/sin, by authenticating Christ's lesson of dying to self, in order to live, by raising him from death.
Ignorance can lead to one misunderstanding what the very nature of slavery is. Revelation sets you free.
NB
1 This is a bare framework. Every point has deeper meaning, some are even polyvalent. Like the results of the main issue itself, the atonement
2 keep in mind the intentionality of the events of Creation. Jewish commentaries are pretty good in outlining God's purpose in Creation, although they may disagree in what Christians believe are His Ways of bringing His will to fruition!
Yes, my understanding is most clearly expressed in Romans 6 as well.
Rom 6:3 Do you not know that all of us who have been baptized into Christ Jesus were baptized into his death?
4 We were buried therefore with him by baptism into death, in order that, just as Christ was raised from the dead by the glory of the Father, we too might walk in newness of life.
We are united in Christ sharing in his death where our sins and our old self is crucified and put to death and we are raised to new life in him. From what I have come across, that was Athanasius' view too.