How, typically, do passengers and crew behave in a real-life airliner evacuation?
In the emergency landing of Emirates Boeing 777, EK521, 300 souls including 282 passengers successfully evacuated an aircraft that landed with only the left side of the main undercarriage extended, and was already on fire before it had stopped moving.

The aircraft was severely tilted over to one side, which must have made movement inside very difficult. Within a few minutes an explosion threw large pieces high into the air (possibly a slide or wing part) and the fuselage was gutted by the fire.

So at least in one case where one might expect very frightened passengers packed into a burning airliner to panic dangerously, it appears that they did not, and evacuated safely (one crew member was apparently hospitalised).

It's only one case, not enough to describe what typically happens, but please add to this answer with further examples to make it so.