It is illogical to say death = eternal life, but with agony.
I wouldn't want to be on record calling God's Word illogical.
Think of "death" as life without the sun, what would it be? Its form would still exist but it wouldn't have the life it was intended to have. We could call it dead.
"Eternal life but with agony"
I think that's theologically correct.
I’ll go on record and stand before the Lord saying I disagree with your interpretation of God’s word on this point.
Poor analogy, for life without the sun won't be life for very long. Without photosynthesis, plants die, animals die, people die. But perhaps you prove the point. How long will it take the Lake of Fire to extinguish a soul? The elapsed time may be commiserate with the sins commited.
I do believe that those that are not written in the book of Life will not spend eternity in the presence of God. This begs the question, can one live outside the presence of God?