Although I only heard a tiny snippet of the song, I'd actually refer to that section as patter, not rap. Although, I'm not sure I could accurately contrast the differences between patter and rap. But, patter came first and doesn't have the social implications associated with rap.
Famous Examples of Patter Songs (sorry, just the mention of the titles might get a song stuck in your head):
- "Major-General" from Gilbert and Sullivan's The Pirates of Penzance
- "Ya Got Trouble" from Meredith Wilson's The Music Man
- "Getting Married Today" from Stephen Sondheim's Company
- "It's the End of the World as We Know It" by REM
- "We Didn't Start the Fire" by Billy Joel
- "One Week" by Barenaked Ladies