I didn't even know there was a recording with them, Mister Matt. I saw it with Edelman and Carmello (not yet married) and, even that long ago, thought it was just poisonous.
The music was by the then-husband of "Friends" co-creator Marta Kaufman, Michael Skloff, who had done the music for Off Broadway's Personals (also with Kaufman and David Crane), the theme song for "Friends," and little else of note. He doesn't even have a Wikipedia page.
The Times said it best about Arthur, when David Richards (aka Mr. Leonard Foglia) wrote "The score by Michael Skloff is second-rate Marvin Hamlisch -- and not the Marvin Hamlisch who wrote "A Chorus Line" either, which might be tolerable, but the Marvin Hamlisch who gave us the forgettable "They're Playing Our Song." When Mr. Crane and Ms. Kauffman's lyrics deal with matters of the heart, they tend to be mawkish; when they go for humor, they tend to be moronic."