I’ve lived and worked in 5 national parks.
When people have injured themselves I have provided aid, carried supplies for other first responders, hauled packs, gear and even children out of the grand canyon,bryce and death valley. I’ve done search and rescue in the maze of Utah and pulled injured and dead vacationers out of Lake Powell. I never asked for a dime or a thank you.
After the fact, if it was deemed by the higher-ups that it was carelessness that created the incident, these people got a partial bill.
As for getting out more;
I’ve got more than 2 hundred miles BELOW the rim of the Grand Canyon.
I’ve hiked from Joshua tree through to the Scotty’s Castle.
And I was in yellowstone for the ‘88.
Last year while trail riding in Oregon I came upon a motorcycle accident (true unforeseeable accident; not related to negligence or improper use of the vehicle). Although 35 miles from civilization, five different agencies showed up to rescue the guy. Very professional and very impressive. In cases where the operator is found to have acted carelessly I hope the agencies do act to recovery partial costs.