I think you are mistaken. They don't care what trail you hike, only where you spend the night. Bright Angel is also the name of a backpacker campground by Phantom. Could that be causing the confusion? A popular first bp trip is down SK, spend two nights at BA campground, then hike up BA trail, third night at Indian Garden.
There is a point of no return unremarked at the time in most lives. Graham Greene The Comedians
A clean house is a sign of a misspent life.