The reason for cutting it was based on Giorgio's characterization, and also length reasons. I think Sondheim did not want it placed because he felt it changed the ending from his initial intent, despite the fact that everything is basically the same. Nonetheless, there is no available sheet music, but it is sung on the Passion UK c.d. with Ball and Friedman.
...What happened next, was stranger still, a woman breathless and afraid, appeared out of the night, completely dressed in white. She had a secret she would tell, of one who had mistreated her. Her face and frightened gaze, my mind cannot erase...But then she ran from view. She looked so much like you...