A recent article I read regarding that illustrated the point a bit from the other side. One of the airlines artificially capped their prices to $99 per flight, and predictably sold out very quickly. That did very little good to all the truly desperate people (Luckily, other airlines that didn't cap had open, but pricier, seats).
What this meant was that people who weren't necessarily in all that much danger, or had plenty of time to evacuate via other means, used up all the tickets. But the ones that were really needy and couldn't use other evacuation means, E.g. pregnant women, were not even given the option of the higher price.