I didn't recognize the names at all, so the joke flew past me. Even if I'd recognized them, I probably would've just assumed that Billy Joel demoed a Warrant song for some bizarre reason (I wouldn't have bothered tracking the songs down and listening to them to confirm).
Here's something even nerdier: There was an animated series on MTV back in the last century called "Daria". Daria's best friend was named Jane Lane, but Jane's older brother Trent was around sometimes and he would call her "Janie", the way siblings do. He was the only person that called her "Janie". I thought of that when I saw "Janie Lane" in the credits. I did not think of Warrant.