I agree that it won't hurt the film overall where the song goes, but if they just start with a few chords of it at the beginning and then play the whole thing at the end it might have more of an effect after seeing the events of all the character's lives play out.
"The gods who nurse this universe think little of mortals' cares. They sit in crowds on exclusive clouds and laugh at our love affairs. I might have had a real romance if they'd given me a chance. I loved him, but he didn't love me. I wanted him, but he didn't want me. Then the gods had a spree and indulged in another whim. Now he loves me, but I don't love him." - Cole Porter