The Americans famously evacuated >800 people out of Afghanistan in a single C-17 flight. Airships could be useful though if they can land "anywhere" (on the other hand, a single Mi-26 helicopter can also carry 90 people, and probably many more if crowded in the same way as that C-17 flight).
The Boeing C-17 can absolutely carry people. It’s designed for paratrooper operations as well as cargo. As noted, you can cram hundreds of people into one of the goal is fast evac not comfort.