Incorrect. Many scriptures teach annihilation, or imply it.
They are dead, they will not live; They are deceased, they will not rise. Therefore You have punished and destroyed (08045 שָׁמַד shamad) them, And made all their memory to perish. (Isa. 26:14 NKJ)
08045 שָׁמַד shamad {shaw-mad'}
Meaning: 1) to destroy, exterminate, be destroyed, be exterminated.-Strong's Concordance
Only God has immortality (1 Tim. 6:16), the "spirit" leaves the human soul upon death and returns to God. It is the animating principle of life (Ecc. 3:21). The soul becomes a shadow of its former self, a "shade":
They are dead, they will not live; they are shades (07496 רָפָא rapha'), they will not arise; to that end thou hast visited them with destruction and wiped out all remembrance of them. (Isa. 26:14 RSV)
07496 רָפָא rapha'
Meaning: 1) ghosts of the dead, shades, spirits.-Strong's Concordance
Without a body, the soul will eventually cease to exist. That is why there is a resurrection of the wicked, so the soul within the body persists until fully punished according to deeds.
When you cast straw into fire, it immediately is consumed. But if you cast a rock into the fire, it remains in the fire forever.
So also those cast into the lake of fire. Some are consumed immediately, burned up and become ashes. Others persist, for their "part" in the lake of fire determined "according to deeds".
That some resurrection bodies are totally destroyed, which destroys the soul within them, is plainly stated:
You shall trample the wicked, For they shall be ashes under the soles of your feet On the day that I do this," Says the LORD of hosts. (Mal. 4:3 NKJ)
But others who committed ETERNAL sins like stumble God's children, have their souls imprisoned in abominable resurrection bodies reeking of corruption:
For he who sows to his flesh will of the flesh reap corruption, but he who sows to the Spirit will of the Spirit reap everlasting life. (Gal. 6:8 NKJ)
Their worm does not die out which requires their resurrection bodies exist forever.
"And they shall go forth and look Upon the corpses of the men Who have transgressed against Me. For their worm does not die, And their fire is not quenched. They shall be an abhorrence to all flesh." (Isa. 66:24-1:1 NKJ)
They receive eternal torment, their resurrection bodies now communicating the Holy Wrath of an offended God, punishing them for misusing bodies that bear the image and likeness of God. God will dwell in His people, therefore our bodies are the "temple of God". These sinners misused their bodies for sin, in effect defiling the Temple of God.
Therefore, He communicates His Holy wrath undiluted, through the very body misused for sin---to the souls imprisoned within.
For those who guilty of eternal sins, the torments of being eaten alive by worms and burned by the unquenchable fire of Gehenna, is eternal:
42 "But whoever causes one of these little ones who believe in Me to stumble, it would be better for him if a millstone were hung around his neck, and he were thrown into the sea.
43 "If your hand causes you to sin, cut it off. It is better for you to enter into life maimed, rather than having two hands, to go to hell (1067 γέεννα geenna), into the fire that shall never be quenched--
44 "where`Their worm does not die, And the fire is not quenched.'
45 "And if your foot causes you to sin, cut it off. It is better for you to enter life lame, rather than having two feet, to be cast into hell (1067 γέεννα geenna), into the fire that shall never be quenched--
46 "where`Their worm does not die, And the fire is not quenched.'
47 "And if your eye causes you to sin, pluck it out. It is better for you to enter the kingdom of God with one eye, rather than having two eyes, to be cast into hell (1067 γέεννα geenna) fire--
48 "where`Their worm does not die, And the fire is not quenched.' (Mk. 9:42-48 NKJ)
1067 γέεννα geenna {gheh'-en-nah}
Meaning: 1) Hell is the place of the future punishment call "Gehenna" or "Gehenna of fire". This was originally the valley of Hinnom, south of Jerusalem, where the filth and dead animals of the city were cast out and burned; a fit symbol of the wicked and their future destruction.
Therefore, its not "one size fits all", punishment is "according to deeds, works". Those who committed eternal sins suffer eternally. Those who did not, do not. They suffer according to their deeds. Some are immediately burned up when cast into the lake of fire, others endure for time and then are annihilated. Others like Satan, the Beast and False prophet, suffer eternally.
That is what scripture teaches. Its time Protestants leave Catholic "generalization" behind, and focus on the details scripture provides. Its all fully revealed, if one will accept it.
16 All Scripture is given by inspiration of God, and is profitable for doctrine, for reproof, for correction, for instruction in righteousness,
17 that the man of God may be complete, thoroughly equipped for every good work. (2 Tim. 3:16-4:1 NKJ)
20 To the law and to the testimony! If they do not speak according to this word, it is because there is no light in them.
21 They will pass through it hard pressed and hungry; and it shall happen, when they are hungry, that they will be enraged and curse their king and their God, and look upward.
22 Then they will look to the earth, and see trouble and darkness, gloom of anguish; and they will be driven into darkness. (Isa. 8:20-22 NKJ)