In the UK we have a few "honeypot" routes for hikers, which suffer extreme erosion from the sheer number of people walking.
We are pretty restricted as to where we can legally ride bikes off-road. Any rock-formation like that would be off limits, unless a bridle path ran across it.
In the US there are a few places like Moab which attract thousands of bikers, but there are also vast areas of public land which are not national parks, and get very few visitors. They are just as pretty as the parks, but access is more difficult.