My understanding is that retaining Rosenstein makes him available to the DOJ Inspector General. I can imagine many questions for Rosenstein.
My take. I think Barr has Rosenstein by the shorthairs and Rosenstein knows it. He is Barrs Bitch. Barr is going to allow him to spill his guts and try to retain some sense of dignity. If he doesnt Im sure Barr will destroy him.