A slight correction because I remember the event so clearly. I was in college at the time and we were watching this historic event on split screen television: Reagan was being sworn in on the left side, the aircraft loaded with hostages was on the tarmac at Tehran Airport on the right side. A single Iranian guard with signal batons in each hand was standing in front of the plane preventing a take off. As soon as Reagan completed the oath of office, the guard stepped aside and gave the plane the signal to taxi.
The Iranians held Carter to the utmost contempt. They did not want to give him the satisfaction of seeing the hostages released on his watch. You think it would have made an impression on him. His activities since showed that he learned nothing.
Corrections always welcome, thanks.