Speaking in the most general terms and not specific to this incident, I am quite certain that ANYONE will panic when the situation is dire enough.
It is nice to think that we have such perfect control of our minds that it will not happen to us, but we cannot tell what we will do in such a situation until we are in it. More importantly, panic is NOT simply controlled mentally. It is a natural bodily reaction to a build up of carbon dioxide in the system. If you are exerting yourself in a bad situation and/or not breathing (especially exhaling) properly in such a situation, panic will build in your system as the CO2 does.