IIRC, the modulation down for Scherzinger is simply at a different point in the song; occurring after "still out there in the dark" into the musical break instead at the final verse.
And per a Playbill interview between Linda Balgord & Andrew Gans ;)
Balgord: "I remember when I went into my audition, I had the music in the original keys, which I had sung for Andrew in London, and I was told, "Oh, the songs aren't being performed in those keys." [Laughs.] And, I said, "Well, please would you let me sing it in this key? This is the key that I'm familiar with it in. It changes a lot of…" Even when I was cast, it wasn't certain that I was going to be able to perform them in those keys, but that is what ended up happening." |
