Attached is my seminary paper on atonement theories. Feel free to cite your objections...
I finally got to read your paper. I liked much of it.
I thought you did a fair job at some of the theories (although a bit brief and popular in nature). I also thought that you presented your view well.
But there are things that can be improved upon.
First, when examining theological positions you should remain more objective (not allow your understanding to betray your examination) and honest to opposing views.
The reader should not know your preference until the end, and then only by a brief explanation of why you prefer one theory over another.
When dealing with these positions you need to do so fairly. Either call all of them doctrines (they are) or all theories (they are with the exception of Christis Victor, and I will explain why in a bit.
The reason that Penal Sunstitution, Ontological Substitution, Satisfactory Substitution, etc are theories rather than facts is that they are not in the biblical text (they are the result of men reasoning out Scripture). Penal Substitution is dependent on several issues and philosophies that the adherent may assume is true, but with theology the presupposition shpuld be God's infallible Word.
For example, there is not a verse in the entire Bible that states Jesus suffered God's wrath, that what Jesus suffered was divine punishment, or technically even that our sins constitute a debt to God.
Ransom Theory is not a theory because it is absent from Scripture but because it assumes the focus is a random. The "paid a ransom to Satan" was illustrating (obviously, as this was Origen who typically used less than perfect illustrations). But others who held Ransom theory did so very differently. It
became a ransom to Satan by the middle ages (by the laity). This was Anselm's complaint.
If you are going to use "theory" with one then the only possible way to do so is to do so with all.
Second, I mentioned Christus Victor not being a theory. In a way it could be the same way Ransom throry is (the focus). But it is not a doctrine. It is a theme under which several Atonement theories existed (the first being Random Theory). Christus Victor is poorly suited to be a doctrine.
Third, PSA cannot be a linchpin to the other theories as every other theory stands in contrast with PSA (if PSA is true then every other view is false).
The theories under Christus Victor (the Classic view) can coexist. You can hold Ransom Theory and Recapitulation, for example. But you cannot hold a Classic view and a Latin view because the approach and framework is opposite.
But you also cannot hold two Latin views (PSA and Satisfaction Theory, for example) because one alters the other into a different theory.
There are blends (like Luther's view, which borrowed satisfactionary substitution from Anselm within a Christus Victor motif....his "Götterdämmerung"). But ultimately this is not the positions combined. It is borrowing aspects to form another view.
I can continue if you would like. It has been awhile since I taught any theology and I do not want to presume you were serious rather than trying to support a camp (I am not sure you wanted a legitimate critique).
What is lacking is conversations with thise who hold opposing views to make sure you accurately represented their positions and their objections.
If you were simply wanting to cheer on the choir, that is fine too.