Anastacia covers Bad name on her last album, she's a big star but i'd assume the two know each other, having shared the stage a few times, and Richie appearing on a track with her. I think it's just personal preference, like i'm sure if Daughtry wanted to cover a song Jon would have no problem.
Just like you rarely see Jovi songs appearing on all those endless ''ultimate rock classics blah blah'' etc compilations despite a lot of their 80s peers being on them, even if it might give them wider exposure as I think Jon feels it cheapens their work/he want's to stay 'current' etc. Jon can be picky with his own songs if he wants to for various reasons. Lending the rights out to do Guitar hero or Glee for example was a clear marketing decision.


Andi