It definitely gives the people you've described hope that they, too, could appear every bit as glamorous as Carol and Steve did in this sketch (the dream part, least ways) with the right outfit, hair style, and so forth.
A recent T.V. bio of Burnett suggested that she always shied away from singing straight torch - that her reticence about being a "serious singer" caused her to always situate such songs within an ironic context. But therein lies the brilliance. Who else could achieve such longing, such an ache, and the metaphysical resignation that dreams are always (and must be?) just beyond reach? Far from avoiding the deeper meaning of songs, she illuminated them & found through humor the savor of tragedy.
I love Steve Lawrence and Carol Burnett on her show. I know they were good friends but Carol always seemed to warm up to Steve. I always wondered what Eydie thought.