Yes, you are right. I don't have a problem with the feds charging for people taking stupid/dangerous risks and for the rescue costs.
I do, howewver, have a problem with them charging the public to photograph/film on PUBLIC property.
I agree, but it probably would never have come up if they hadn't been reckless and created a situation that endangered themselves and their rescuers.
This is the only thing they could find to charge them with, probably.
I have some experience with film permits. Permits are required when filming for any commercial or non-personal use. Students, non-profits, etc. can often get a film permit free of charge.
When you sign for the permit, you state where you will film and what you will film.
The parks are protecting themselves from liability and limiting the damage to the park that a film crew/set can cause.