The temporary, NON-eternal flames you (rightly) speak of, purifying the saved soul, are in some NON-eternal place or state. It is a place or state of purification. Which is the exact meaning of the term we use, "purgatory."
We only disagree on the "purifying the soul" and that it happens in eternity.
I say this because it is the actual works that are judged by flame and not the soul.
The believer now has a new nature, the life of Christ and is a tabernacle of the Holy Spirit. All because he has the righteousness of Christ imputed to him at the moment of saving faith.
I wish you well friend.