Elements of the view you describe also seem to be found in the Orthodox view of the Atonement. Theosis is now and has been a part of Orthodox theology from the start – as St. Athanasius of Alexandria said, “The Son of God became man, that we might become God”. (I don’t mean to suggest that this history makes the doctrine true, but it is quite old.)

Orthodox theologians also teach that there was no sin-debt that had to be paid to God. They say instead that sin broke the bonds that before had bound humanity to God and thus introduced death, disease, etc. into the world. The effect of the Atonement, they say, is not to pay a sin-debt but instead to break the hold of death upon us and restore our relation to God. To this end, they emphasize not so much he death of Christ but instead his resurrection. His resurrection loosed the grip of death upon us and made our resurrection to life with God possible.

On his approach to the Atonement, God’s love and mercy are made paramount. God’s justice is understood in terms of them, and does not introduce any debt that must be repaid.

As best as I can tell (and I’m no expert), the idea that Christ had any inclination or propensity to sin is no part of the view; it seems to be conceptually distinct from the view of the Atonement sketched above.