Wide tires will not do much damage to a rock surface. He just have to be careful to not knock down columns there.
I hear the rock climbers do some damage while knocking the steel hooks into a rock. But they also change the technique to save environment.
Is it known how this cyclist got to this area? Was he cycling there from home or driving a car? If he drives there with bike on car-rack, he may find next time a fuelling station at the spot.