Aren't You Glad?

Last night while not watching the Academy Awards, drinking a few beers, and hoping for a snow day, I heard a familiar song in a commercial. It was Big Chief, way more up beat and less syncopated (if that makes any sense) than Professor Longhair's more popular version. And it was on an add for Sure Deodorant for women. Am I missing the correlation?

UPDATE: I changed this a little bit. I swear I thought it was for Secret. Either I was drunk, not paying attention, or didn't care what the product was. Oyster set me straight...