Lenny Kravitz released American Woman, Trisha Yearwood released How Do I Live?, Madonna released American Pie, Aerosmith released Come Together... the list goes on, she could release that song if she wanted to.
Actually, Yearwood did the original "How Do I Live?"
Anyway, "Private Radio" should defnitely be the next single. Radio is looking for a different sound from Vanessa. The song is fun, upbeat, and short. Radio won't like a long song, that prefer short songs to keep the listeners attention. It will attract a new audience. It would be unwise to not release a song because it wouldn't makea good video. Even though I think it would make a great video. Hot AC radio already seemed to have abondoned her. She needs to focus on pop, pop will love "Private Radio."