Exactly. They get no immortality in any way. That’s a reward for the righteous.
So just going back to this, I can agree with this.
I do think the whole "annihilation" point of views stands or falls on the correct understanding of the word "destroy" "apollumi"
This you have not demonstrated as we look at the word used throughout scripture nowhere does it take on the meaning to make of no existence.
Examples:
for this my son was dead, and is revived; and he was
lost, and was found. And they began to be merry. Luke 15:24
Or what woman who has ten drachmas, if she
loses one drachma, does not light a lamp and sweep the house and search carefully until she finds it? Luke 15:8
Neither do people pour new wine into old wineskins. If they do, the skins will burst; the wine will run out and the wineskins will be
ruined. No, they pour new wine into new wineskins, and both are preserved.”
Apollumi (ἀπόλλυμι, 622), a strengthened form of ollumi, signifies “to destroy utterly”; in middle voice, “to perish.”
The idea is not extinction but ruin, loss, not of being, but of wellbeing. This is clear from its use, as, e.g., of the marring of wine skins, Luke 5:37; of lost sheep, i.e., lost to the shepherd, metaphorical of spiritual destitution, Luke 15:4, 6, etc.; the lost son, 15:24; of the perishing of food, John 6:27; of gold, 1 Pet. 1:7. So of persons, Matt. 2:13, “destroy”; 8:25, “perish”; 22:7; 27:20; of the loss of well-being in the case of the unsaved hereafter, Matt. 10:28; Luke 13:3, 5; John 3:16 (v. 15 in some mss.); 10:28; 17:12; Rom. 2:12; 1 Cor. 15:18; 2 Cor. 2:15, “are perishing”; 4:3; 2 Thess. 2:10; Jas. 4:12; 2 Pet. 3:9. Cf. B, II, No. 1.
W. E. Vine, Merrill F. Unger and William White, Jr., vol. 2, Vine’s Complete Expository Dictionary of Old and New Testament Words (Nashville, TN: T. Nelson, 1996), 164.