If I were KOC, I'd trade Marvin for some junk expirings and have Corbin start Carroll. DeMarre works well as the 4th/5th option. And if he saw an opportunity to start, there's no doubt he would want to re-sign with the Jazz. Of course, if not playing DeMarre is an attempt to hurt his value as a FA, it won't work. He may get offered a bit less by other teams, but he's not going to want to return to the Jazz.
He will go wherever the money is clown. If the Jazz offer him more money than other teams, he will return. Let's not forget the Jazz saved his career. KOC doesn't pick him up, he could be playing in the D-League making 30K instead of 800K.
When it's all said and done, the Jazz will probably be responsible for over 10 million dollars the Carroll would have never made if it wasn't for the Jazz.