Well said.I'm not a fan of martial arts rank conferring any sort of authority over others*.
There is a limited sort of "authority" inherent in being the owner of a school or a teacher of a class. The school owner gets to decide who can attend the school. The instructor in a class gets to decide what material is being taught in class that day, how the class time is structured, and can kick out someone who is being disruptive. (Although I've never had to do that last one so far in all my years of teaching.) But that's down to the role of owner or instructor, not rank. If I (BJJ 3rd degree black belt), attend a class taught by a brown belt, then I am there as a student. I do the same drills and exercises that the teacher has everyone else do. I certainly don't try to override their authority as instructor based on my own rank.
*I'm interpreting the discussion so far regarding authority as meaning "having authority over others" rather than "being an authority (expert) in a subject."
I started lining up at the back of the class 3-4 years ago, whether it is at our school or when I visit another school. It has been something of a 'freeing' action. I know I am not as physically capable as I once was, and by lining up in the back, it seems to 'level' the playing field and people see me as just another guy in class.
I never interject in a class unless directly asked or if something gets Very off-track. Even then, it is always done one-on-one and never in front of the class.
I think it is getting lost on some folks that there can be a sense of 'authority' even in a non-structured workout in the park since usually someone has to lead the group. But it is never a word that really comes to mind for me.
It is especially a requirement when it comes to ownership.