You wouldn't have died fighting that day -- you would have died being burned to death at temperatures in the range of 1000-2000 degrees Fahrenheit, if you did not jump. There was nothing or nobody to "fight." They were doomed.
I saw people jumping that morning and am still haunted that I can't even imagine what was so horrible in there that they felt compelled to jump.
Fighting as in fighting for your life (ie: doing something to at least try to survive), not as in looking for someone to punch.