What reality show would Clinton rather be on?

According to this article from the Associated Press, Hillary Clinton said she would rather be on "Dancing with the Stars" than "American Idol" on the Tyra Banks show.

"In my dreams I would be on 'America's Next Top Model' but in reality I would have to choose my limited talents and of them dancing is better than singing," Clinton said Monday during a taping of "The Tyra Banks Show." "You do not want me to sing."

That was an apparent reference to her off-key rendition of "The Star-Spangled Banner," which has made the rounds on YouTube.
...
She even suggested a nationwide contest, "like a reality show," for a title for her husband, former President Clinton, should she win the nomination and be elected the nation's first female president.

"Here are some of the things that have been suggested, like 'First Mate,'" Hillary Clinton said. "His Scottish friends say 'First Laddy,' but we need ideas. I'll just keep calling him Bill."

Asked whether she does any of a number of popular dances, including hip-hop, Clinton said she'd heard of them and that they were "variations of what I did like 30, 40 years ago."

I know that "America's Next Top Model" is Tyra's show, but why even bring it up as an option for her?