No they didn't.
Funny... maybe. Old... certainly. True... absolutely not (even easier in this case since the "US Lincoln" in this transcript would be the USS Lincoln - and the USS Abraham Lincoln at that, and you'd expect a Captain to know his own ship's name. And the USS Abraham Lincoln was in the Persian Gulf at the time).
Yes, actually, they did. Revolving doors are made to fold flat during an emergency so that more people can escape as quickly as possible. Somebody pushed it against rotation and snapped the emergency link, causing the door to flap to the "everybody out" position. It just happened to sandwich the poor guy between two leaves.
When the guy in the dark overcoat is leaving, making the door spin counter clockwise, a guy comes in from the other side and tries to make it spin clockwise. You can see him walk up. The impact caused the door to go into panic mode and try to fold flat. Then after the glass breaks on the guy stuck in the door, you see the other outside guy back away to the right. It looks like a reflection of the guy stumbling out, but if you look, the body configurations are not the same.