By Jethro Nededog LOS ANGELES (TheWrap.com) – It's widely known that Fox's "American Idol" has been in constant flux in the time since Season 12 wrapped. Shrinking ratings has led to all but one judge, Keith Urban, moving on and both founding executive producers fired and replaced. And as one after another artist turns down the gig (Kelly Clarkson, Will.I.Am, Dr. Luke, etc.), it begs the question of why it has decided to pass over alums Jennifer Hudson and Adam Lambert – both having expressed a desire to join the show. …