This song moved me also, especially after seeing this particular version on The First Take. I can almost imagine a person so desperate to live, and eager to die at the same time. Love your analysis of this video. Thank you!
The way she was still able to project her voice clearly despite distancing herself from the mic (I know some post-processing also contributes to that) but I think, to me, is a testament to how she really put her emotions into singing this.