There is a specific "sound" associated with elevator music, usually involving themes from soft popular music or light classical music being worked over by slow strings.
During the 1980s, the station aired what today's jockeys pejoratively referred to as an elevator music (likely something along the lines of middle-of-the-road, beautiful music or easy listening) format.
In the early years the station played easy listening, and elevator music.
Presumably the name change was made to help dispel the station's image of being an elevator music station.
Ironically, while its name is commonly associated with elevator music in the public mind, that was never one of the company's offerings.
This was an attempt to distance the station from the perceived stigma of its earlier life as an elevator music station.
For her to do elevator music, as she called it, was a great surprise to the young audience.
Her single is used as elevator music throughout the series.