I'll see what I can do with the scriptures you have offered >
I see you might think this means someone can go to purgatory after one dies, in order for the person to be processed about wrongs the person has not taken care of while in this life.
I understand that Hebrews 12:4-14 means we get such correction in this life, so things do not have to go on to after we die. Because God is able to get things done now in this life. This is about how God is able to change us so we succeed in living the way He wants in this life.
Possibly, you might apply this to mean that an unforgiving person can be processed in Purgatory if he or she has not forgiven people in this life.
Again > God is able to correct us now and change us to be like Jesus in this life. 1 John 4:17 says >
"Love has been perfected among us in this: that we may have boldness in the day of judgment; because as He is, so are we in this world." (1 John 4:17)
God's love in us > Romans 5:5 > changes us now.
Now I understand ones might say oh but isn't it merciful that if a person does to forgive someone and then the unforgiving person dies, isn't it merciful for the person to have a second chance by being purified in Purgatory? God can change the person now. And when the person dies will not be by chance. He can manage things so a person trusting Him gets real correction and is perfected in His love, "that we may have boldness in the day of judgment" (in 1 John 4:17).
I see this means there will be a time of judgment of our works. And fire will test our works. And even if our works burn, if we are God's children, we will be saved "through fire", our Apostle Paul does say.
Hebrews 12:29 says >
"For our God is a consuming fire." (Hebrews 12:29)
So, what do you understand is the effective and discerning "fire" who will test our works, then?
We do have God to do this now. And Hebrews 12:4-14 shares how God is guaranteed to succeed in us, to correct us. And 1 John 4:17 says, "as He is, so are we in this world." So, certainly God is able to succeed in this life.
So, I see how you could understand that the day of judging of our works can lead to Purgatory, for ones whose works have not been God's way. And you would say the fire of Purgatory will save us but burn our unsound works.
But I consider how God is able, now. So, I consider that God our "fire" can have His "day" with every one of our works when and as He pleases and He the "fire" then takes us on to do better. The "day" can mean, if this interpretation is correct, the time of God's light during the day of salvation which is now.
"that Day" is in this scripture; "the" day is in Corinthians.
As for
Hebrews 12 that is exactly the point of purgatory. Its a temporal punishment /chastisement so we can share in his holiness.
I do not believe that God's correction is only or mainly punishment and chastising. But He corrects our character so we are like Jesus. Punishing and paining us can not change us to be submissive and sweetly pleasing like Jesus. Pain and chastising alone can not change us to become wise and submissive to God and seeking Him to change us to be like Jesus and to love any and all people.
I think you misunderstand what purgatory even is. What do you think the doctrine of purgatory is??
What I remember being told, and what I have picked up from reading ones who identify as Catholic is that Purgatory is a place for people who died with unconfessed venial sins. It seems ones have said they need a certain amount of pain infliction as punishment for the sins and in order to purify them. But because they did not die in mortal sin, they can go to Heaven. So, they stay in Purgatory while they are dealt with about their unconfessed venial sins, and purified.
But God's love does not just purify us in the sense of only stopping certain wrong activities. God's love changes our nature so we are like Jesus. Paining our ego does not change us to be like Jesus. But our real nature reacts to fire according to what our real nature is.
Again, I see too much procrastination in getting purified and punished after we die. Also, it appears this makes a person's salvation too dependent on the person oneself. But the Bible says to submit to God (James 4:7, Colossians 3:15) and seek Him now for real correction in this life so now we share with Him in His holiness (Hebrews 12:4-14). Jesus says, in order to follow Him, we deny ourselves > Luke 9:23. We stop depending on our own selves and we depend on how God is able to correct us and personally guide us.