Bullock recently purchased a home in New Orleans, the birthplace of her adopted son Louis Bardo.
James, who began the adoption process with Bullock before their breakup, has spoken about wanting to have a relationship with Louis, as well as to have Bullock maintain her relationship with his three children from previous marriages.
But Shuter said the idea that James would need to live in the same town in order for that to happen is just a ruse. "It's not a plausible excuse," he said. "Their wealth makes the rules different. If he wants to hire a private plane for the kids to hang out with Sandra, he can."
Bullock appears to have the left the door open for James to have a relationship with Louis. "I really don't know how our paths will intersect in the future, but the father I have known Jesse to be with all the kids is one that I hope Louis can experience one day, no matter how Jesse and I go on with our lives," she told People in April.
Last month, Lindemulder cast doubts on James' motive for moving. She told In Touch Weekly that James had said that if he couldn't reunite with Bullock, "he's got a 'backup plan' with another girl in Austin."
"Imagine him saying he is moving to Austin to be a dad to 5-month-old Louis and to be there for Sandra, uprooting Sunny -- and it's because he might be pursuing mistresses," she said. "He could be off his rocker."