We had to watch that video during naval basic training. IIRC, McCain was not merely on deck, but was strapped into his airplane.
I also remember that they were pushing fighter jets overboard rather than attempt to extinguish them as there was magnesium on fire that could not be put out quickly with the resources they had and they were afraid they would just melt through the ship, like thermite.
We watched it too - and since I worked on the fight deck I saw it many more times.
How the Forrestal fire was handled is a case study in how to do it wrong and the high number of casualties was the very sad cost of how poorly prepared the crew were.
I also remember that they were pushing fighter jets overboard rather than attempt to extinguish them as there was magnesium on fire that could not be put out quickly with the resources they had and they were afraid they would just melt through the ship, like thermite.