Great addendum to the 1992 Westwood One broadcast above:
This Nearly Was Mine/Street Of Dreams:
https://www.youtube.com/watch?v=OIFi...&feature=share
Sounds like it might be from the same soundboard recording. They probably didn't broadcast the whole show.
Center Stage aired only the last 20 seconds of "This Nearly Nearly Was Mine." This one is complete at 1:03.