Stephen Horgan wrote:

Both on television I am afraid. The American crew were excited and
quite noisy as the airliner was shot down.


That was very noticeable on the bridge film- they were bouncing off the
walls at a chance to show off what their shiny new ship could do.


The British crew just kept
reporting tactical updates as they successfully engaged an inbound
exocet.



That's because they remembered the Falklands war, and knew what was
going to happen if that Exocet arrived at their ship.
In the Vincennes case they thought they had an F-14 that was maybe going
to attack them, or may have just been rattling their cage. If it had
been an incoming cruise missile the reaction might have been different,
with more relief than cheering when the Standard missile intercepted
it. The first question the crew would ask themselves was whether there
were going to be any more inbound, and I'm sure that was what the
British crew were thinking.

Pat