Am I wrong here, are you in fact saying you do hold to Christian Universalism or what's sometimes called universal reconciliation?
If you are quoting John Chrysostom then I take it you do not affirm Christian Universalism. However, when you posit, "Christ did not purchase "the possibility of salvation for all", He purchased it for all." it sounds that's what you are advocating--Universal Reconciliation. I think what you are saying is that your views line up with unlimited atonement, or if you prefer, general atonement.
Atonement has to be unlimited because the blood of the Incarnate Word is of unlimited value. As for universal reconciliation, I'd like to believe it but despite how many of the early Fathers held to it I can't quite make a convincing case. My next preferred position would be that held by other Fathers, that all are resurrected into the presence of God, and for those who are His that resurrection is joy and continues, while for those who reject the light it is agony such that they wither away and are no more. I forget which Father it was who noted that this would be good news for all; those who are in Christ thus are forever with Him, while those who reject Him don't suffer eternally but receive mercy in the form of their existence coming to an end.
To borrow imagery from a Jesuit I once knew, the Atonement purchased a flat (apartment) for everyone, and everyone got keys to theirs, but some choose to throw away the keys and reject the gift.
As far as "the possibility of salvation for all" v "purchased it for all", if He had purchased only a possibility I don't think that fits with His declaration "It is <now and forever, utterly and totally> finished!" If He only purchased a possibility, then the work wasn't truly finished because more remained in order to make that salvation actual for everyone.
τετέλεσται does not leave room for mere potential!
On the other hand, what the early Fathers meant by universal reconciliation is not what most people would guess. Origen's view is perhaps typical, that all suffer in a fire built of our own unrepented sins, which for those not in Christ means every sin they ever committed however small of large, and as one suffers in the flames each and every sin churns to the surface of memory and with it experience -- not just knowledge, but experience! -- of all the pain and suffering that sin caused anyone else, including not just other humans but also every part of nature. This continues so long as the person tries to avoid facing sins; it is only relieved by accepting full responsibility and
welcoming the experiential knowledge -- i.e. the suffering -- of all those who suffered as a result of each sin and cries out to God for relief. Given human stubbornness and tendency to try to avoid responsibility, and given that we sin continuously merely in that as selfish humans our actions are never free of selfishness, one can imagine this suffering to continue for the equivalent of millions of years. It's worth noting that this
equivalent was taken literally in the Roman Catholic scheme of Purgatory such that punishment was reckoned in years of suffering, and from there it was a small step to assuming that this suffering must take place in a location -- one similar to heaven and hell -- and thus what began as a doctrine of purgation became a picture of an actual physical place where people suffered actual physical torment. Yet as some modern theologians have noted, the greatest suffering in such a condition wouldn't be the physical, since the greatest pain we humans endure is not that of the body but of the mind and of the heart, so Purgatory as a place as traditionally envisioned both lacks any kind of foundation anywhere in the scriptures but also lacks the aspect of the worst pain humans can suffer: the torment of the soul.
That sort of universal reconciliation includes all those who never heard the Gospel, though there's a twist: some have held that when, as Peter says, Jesus went and preached to the spirits in prison that it wasn't just those who had died previously to the Crucifixion but was in fact all who ever had and ever would die -- making it, in modern terms, an event not on the timeline (or perhaps I should say not on
our timeline, seeing as eternity may certainly have others where events march differently!) -- so that every human who has ever lived and died plus will live and die heard the Gospel from the Word Himself, thus providing a foundation for this deliverance from eternal suffering. This was assessed as being just because each person's 'time' in torment ends up being determined
by that person, a form of sentencing difficult to fault. A verse that was referenced in this connection is Jesus' statement that "Truly I tell you, you will not get out until you have
paid the last penny". [On a personal level, one reason I like this position is that it solves the Roman Catholic conundrum of what happens to a Christian who dies in a state of "mortal sin": it becomes no different from dying in any other state; we can (and will) be purified beyond the grave and made one with our Lord.]
At root the question of limited atonement come down to Christology -- though I will note in passing that a good OCA Orthodox priest friend once expounded on a major facet of Orthodox theology, namely that answering any question that is actually theological must begin by asking , "Who is Jesus?", in which case everything is about christology! If Christ is Savior, He must be Redeemer; if Redeemer, He must be fully God and fully Man; and if He is fully God and fully Man then it is not possible for atonement to be other than universal -- in other words, to say that Christ didn't die for everyone is to say that He is either not fully God or not fully Man (or both), which is to say that He is no Redeemer, and if He is no Redeemer then he is no Savior. If (and I think of that little Greek particle εἰ, which means both "if" and "since") He is Savior, then He is Savior of all.