If my child has a broken leg ( as opposed to an appendicitis attack) I still want that treated sooner rather than later. It is not considered life threatening but I want it handled today.
These parents were self centered in the extreme. They wanted to go so they did. Not good parenting by any measure
I do believe a child with a broken leg would be treated even if no adult was around to give permission. A broken leg is indeed life threatening.
However, I’d never leave my twelve year old with no adult supervision for two days.