Econ 101 yes. However during cases of emergencies, demand may not be rational, as the value of their currency is less than the value they are trying to protect.
If you are freezing to death and the only thing that can save your life would be using that check in your pocket for a million dollars, you would burn that check, in order to save your life.
In short during an emergency people need to focus on the short term and not the long term. So Supply vs Demand breaks down, as the value of money, is only as valuable as everyone agrees it is. However during an emergency, its value drops to the practical value of the paper,coin, plastic.
That is why there are anti-gouging laws. Because it isn't an aggregate rational supply and demand, but a mad rush for services.
Now for Uber and other services, Being their computers are not programmed to think in terms of an irrational market, they will just assume there is a perfectly rational demand jump so the prices will rise. The long term effect would be customers being felt ripped off will avoid such services in the future.