The lake of fire is mentioned in the English New Testament. Is a spirit in the lake of fire? Does a dead person go to the lake of fire and what about their spirit or is the spirit the person? Alive or dead? I don't know. But we need to get back to the text and see what it says. This follows your question about sheol but I don't know what relationship or correlation you might be drawing or attempting to use if you have a point.
Just encouraging conversation... I have been struggling with the meaning of death for along time and slowly seem to feel progress.
The topic of the lake of fire brings another element into play, the idea of
"dead" spirits, which I contend are eternally alive. Alive is self and other aware but dead for such an alive spirit would mean not to be aware of a relationship with GOD, sometimes referred to as being
spiritually dead. For an alive spirit to be spiritually dead is to not be alive to, ie, unaware of, GOD's presence since they have been removed from it to the outer darkness. I have settled upon the words
'the outer darkness' as the name of the actual place and
the lake of fire as the metaphor for the feelings, the experience, of the place called the outer darkness.
Christ saved His elect from death yet all die...so it must be the death of damnation that is referred to in our salvation, the death of the outer darkness, not the death of the body. Our physical life is physical metaphor for our eternal spiritual life and our bodily death is a metaphor for the eternal death in the outer darkness which we are saved from by Christ but which we taste physically.