FEMA has always believed that getting money to affected people quickly is the most important thing. So the paperwork is minimal, to maximize speed.
Yes, that means that fraudsters will benefit. But they have always thought that the cost of such fraud is outweighed by the benefit of getting desperate people the aid they need as fast as they can....and they would have time to find the fraud later.
And when that happens, headlines pop up about how much fraud there was, and not about how many people were helped in their time of desperate need.
I can speak with experience about this.