Unfortunately that’s just how the Fracture Object works. Fortunately there’s a pretty easy workaround. You just have to put each object inside a null located at the desired pivot point. Since you have the object axes placed already you just have to select each object and hit Alt+G to place them under the correctly-placed null. You have to do it one at at time, unfortunately. It would of course be a lot easier to put the Null>Plate in a cloner unless they’re all different.