There appears to be a bit of interest in this so I'll pass on the feelings of the traditional owners as found on their imformative web page Kata Tjuta National Park
Please Don't Climb Uluru
Nganana Tatintja Wiya - 'We Never Climb'
The Uluru climb is the traditional route taken by ancestral Mala men upon their arrival to Uluru. Anangu do not climb Uluru because of its great spiritual significance.
UluruAnangu have not closed the climb. They prefer that you - out of education and understanding - choose to respect their law and culture by not climbing. Remember that you are a guest on Anangu land.
Also, Anangu traditionally have a duty to safeguard visitors to their land. They feel great sadness when a person dies or is hurt.
Hynr asked if there is a particular why there might not be aboriginal geocachers. There is no reason, in fact there are geocachers of aboriginal descent.
There are a lot of sacred sites here, Uluru is probably the best known from a tourist viewpoint.
As an aside, I wonder how may people read the front page text here and try to find the mythical state of Uluru?