One thing I am a little puzzled by is the concept that penal substitution is by necessity opposed to the purification and washing motifs.
PSA is opposed to the "atonement" as presented in Leviticus to describe the Day of Atonement, but not necessarily to how PSA theorists redefine atonement.
Part of the readon is Hebrews 9. Christ is presented as dying and then entering into the Most Holy Place through His own blood (which, in Leviticus, would be atonement made by the high priest to atonement for the tent of meeting and the altar beside atoning for the sins of the people). Christ "purified" Himself (flesh and blood will not enter the kingdom of God) to enter that Most Holy Place not made with hands. There Christ as our High Priest makes atonement for our sins. This is Christ Himself as the Propitiation or Atonement for our sins, to be received by faith.
The reason PSA contradicts biblical atonement is the theory views God as taking our sins, putting them on Christ, and Christ experiencing Gid's pu ishment for our sins instead of us. There would be no sins to be cleansed.
In Leviticus "atonement" is cleansing rather than a substitution. The priest makes atonement for the tent of meeting, then for the altar, and lastly for the sins of the people.
PSA theorists deny this by "double speek", by redefining "atonement" to mimic the pagan sacrifices meant to appease the anger of their gods.
What the atonement changes os not God but man by cleansing us ftom sin (God removes our old heart and spirit, gives us a new heart and spirit, we put to death our old self, we die to the flesh, ate made new creations, are conformed into Christ's image.
PSA is a secular addition. It is neo Greco-Roman philosophy developed in the 16th century Renaissance huminism movement (the movement that sought to revitalize Greco-Roman philosophy, art, literature, and architecture).
The problem is twofold. First, it is an addition to the biblical text that focuses on this secular philosophy as primary. But second and more importantly, it replaces biblical atonement.
You have demonstrated this. The secular philosophy is "every crime must be punished; punishment satisfies the demands of the law; the role of the judge is to avenge the law".
You use that failed secular philosophy almost verbatim (all sins must be punished; punishment satisfies divine justice; God as Judge avenges divine justice).
You simply do what Calvin did - you take this secular neo Greco-Roman philosophy and replace the law with divine justice and crimes with sins.
The reason that Christ's death was not God punishing Jesus instead of us is our dins remain on us which necessitates man being "cleansed" in Christ.
If the biblical text is correct then PSA is obsolete. If God punished none of our sins on Christ we would still be saved and the requirements of the law would still be met because we are cleansed of our sins, made new creations in Christ, conformed to His image.
What is not satisfied is that failed neoGreco-Roman philosophy (every crime must be punished, punishment satisfies the law). But who cares? That philosophy was wrong and is not in the Bible. God saved us by His righteousness manifested apart from the law (as the law could not save us).