I would think not. Why? Perhaps an answer is at hand. How would shutting it down be of service to anyone, both near term and to those who may search for this topic years later?
A definitive answer does not seem to have yet come to pass.
FAA seems to differentiate between man made structures and natural. You may try applying for a waiver, since rock formations are not considered a man made structure in discussions I have been a part of. I have not submitted a waiver application yet but at some near point will have to for the areas I want to shoot in. Anyone done this yet? Please share if so...