It really is a giant PITA to start a fire with no flints/matches/lighter and no tinder. A friend of mine has been doing it for about 20 years, he started as a Scout (is still a Scout leader) and does a lot of bushcraft workshops and the like and even he has a helluva time often enough. That's why essential kit even centuries ago for Native Americans included flints and tinder.
Even now, a small bag of Dorritos, cotton wool pads that have been soaked in melted wax, paper egg cups full of dryer fluff with melted wax poured over, all very good to carry round as well as lighter, flint strike or waterproof matches in a tin.
And they are lucky to have plentiful, dry wood sources.
That's why the first logical thing would be to get several people working on a fire, several more to hunt for a water source, several to start sourcing supplies for shelter, etc.
This must be choreographed. No group can be that stupid.