All the training I learned in boy scouts, heard from survivalist, people who have survived outrageous circumstances by their own choosing and actions did not attribute their success to panic, but the opposite, keeping a clear head.
It's likely we can find stories of people panicing and surviving, sure. But can a paniced person (one overwhelmed with intoxicating fear) help others? No.
A drowning person will also drown their own lifeguard to attempt to save themselves. This is a well established fact that all trained lifeguards know.
Panic causes irrational and often self destructive choices. And often hurt others.
Surely there's a historical figure who at some point fled in panic. Having survived, they then changed the world.
If you're having an asthma attack, running outside in a panic might get you away from the airborne allergen.