Well, if one retains any degree of consciousness or awareness after physical death, one could conclude that the brain is not necessary for such phenomena. Although I do question if one's critical faculties would still be intact to make such a reassessment/recognition. Perhaps one may lose all of or the bulk of their memory to adapt to whatever new reality emerges. In such a case, one would not remember the question "Will my consciousness/awareness live on after my physical body/brain dies?"
Hello ToR,
The Vedantic position is that in this very life there is experience of brainless and even objectless consciousness.