Okay, if I follow your logic, then it doesn't sound like anything written by Richie, mainly or not mainly. I have Bon Jovi albums and his solo albums. Compare this song with anything recorded by Rich. It's a totally different level of songwriting. Very POP kind of songwriting. And way too professional.

If I could guess, I would say that lyrically this song was written mainly by Desmond. It sounds very Diane Warren/Desmond Child. You know, very "I don't wanna miss a thing". Written by a professional hit-maker, person who does this and only this for a living.

I think Rich and Jon were the guys who changed 1-2 phrases there. They prob. did original rock arrangement with Desmond too. And I personally like dance arrangement better.