He was on life support, deep coma, not brain dead... Dead, but not gone, says he is slightly alive, he was brought back, he is as he was...
Corpstaker's body was lost, it does not make a difference if you are prepared to take another one. Harry could have taken another body and Mab would have been left with an empty vessel maybe for Bonea to use.
The body is not that important for this line of reasoning. Nice that Mab kept a body ready because Harry would not have taken another one, Too evil.
The soul has a body.
Murphy is dead and gone,
Murphy has gone to Walhalla, just like Socrates went to Hades. Different rules apply. But it is Murphy.
she may come back in some form, but it won't be as she was..
Either she comes back or she does not but if her soul is not included it is not her. So no use talking about that.
Also there is this, the idea that the Einherjar just seem like normal regular warriors, so Murphy will come back just like she was. We've never met a human before he became an Einherjar to compare before and after. No one has sat down with an Einherjar and asked him what his life was before.
But we know they act quite human. Nothing indicates that they are not exactly what norse mythology says they are. The afterlife existence of dead warriors, not some zombies or vampires. Really the afterlife of a person. With the soul otherwise it just makes no sense and Vadderung would not have used soulfire but a drum.
And we know they have memories of their life, River Shoulder told us so. They have memories of the Genoskwa.
Actually from what we know dead people have better memory, total recall as Harry showed (and yes that is another sign he was dead)
The Valkyries pick them up and bring them to valhalla to fight and party. They are the same persons just a different condition. Hades keeps them in his realm, Vadderung raises the best ones as his warrior because he has a lot to do and that is what his followers want.