ABC is right about the shuttle not belonging to ESB, just as Ady stated AT-ST was not going to be on Hoth, as it belonged to ROTJ.
I'm quite sure Ady is not including the "look-at-my-new-cool-ship shuttle scene" in Luke's rescue, as he is trying always to mantain the pace of action... and this nonsense shuttle scene is quite like a "filmus interruptus" ;)