That's right.
For regarding the mistaken idea of "soul sleep", only the physical bodies of the dead in their graves are euphemistically "asleep" (1 Thessalonians 4:13; 1 Corinthians 15:18,51). And only their dead, physical brains are without any thoughts (Ecclesiastes 9:5, Psalms 6:5, Psalms 115:17, Isaiah 38:18a). For the soul is distinct from the body (1 Thessalonians 5:23). And the soul can remain alive even when the body is dead (Matthew 10:28a). And the soul can remain conscious outside of the body, whether the body is still alive (2 Corinthians 12:2-4), or has died (Revelation 6:9-10).
So the souls of the dead remain conscious, either in heaven with Jesus Christ (2 Corinthians 5:8, Philippians 1:21,23, Revelation 6:9-10, Luke 23:43,46, Acts 3:21), or in fiery punishment in hell (Luke 16:22-24). At Jesus' future, Second Coming, He will bring with Him from heaven all of the souls of all obedient Christians who have ever died (1 Thessalonians 4:14). And they will descend to the earth where the graves of their bodies are, and their bodies will be physically resurrected into immortality at that time (1 Thessalonians 4:16; 1 Corinthians 15:21-23,52-53, Revelation 20:4-6).
Sometime after the subsequent Millennium and Gog/Magog rebellion (Revelation 20:7-10, Ezekiel chapters 38-39), all of the souls in hell (i.e. all non-Christians who have ever died) will be physically resurrected, judged, and cast into the lake of fire (Revelation 20:12-15), which is the second death (Revelation 21:8). This will be the death of both their resurrected bodies and their souls (Matthew 10:28). And yet, even though they will be dead in both body and soul, their spirits, which are distinct from their bodies and souls (1 Thessalonians 5:23), will remain conscious, and will suffer along with the spirits of Satan and his fallen angels forever (Revelation 20:10,15, Revelation 14:10-11, Matthew 25:41,46, Mark 9:45b-46, Isaiah 66:24).
Also, the future, eternal, conscious suffering of all non-Christians must not be considered as eternal life, but as an eternal, conscious, ongoing, second death (Revelation 21:8, Revelation 20:10,15, Revelation 14:10-11, Mark 9:45b-46).