It just doesn't work that way. If you consider the small percentage of acres that are actually walkable by humans and how humans would get to those areas from feeder trails, then the impact isn't just a random person walking in a random square foot in the entire park. Humans don't just teleport to random square foot patches. They get there from feeder trails and are constrained by what is traversable in the first place. And who gets to choose who walks off path? Everyone gets to? Only certain people? I'm not sure why you're arguing this. It's been studied, and it's damaging. Going off trail also increases the chances of introducing non-native plant and insect species.
Nature isn't for us. The trails are enough to experience it. Going off trail is selfish and damaging.
* Off-Trail Trampling Has Lasting Impacts: https://daily.jstor.org/off-trail-trampling-has-lasting-impa...
* Going off trails: How dispersed visitor use affects alpine vegetation: https://www.sciencedirect.com/science/article/abs/pii/S03014...
* Off-trail trampling causes millions in damage to national parks: https://magazine.washington.edu/feature/off-trail-trampling-...
> If you consider the small percentage of acres that are actually walkable by humans
Grand Canyon was an extreme example, but people can go over rough terrain. That’s a big part of what being in nature means.
In terms of damage to nature, any large animal is going to trample plants, even deer trails very noticeably impact plants let alone a grizzly or moose. That’s just part of nature, it’s scale that’s the issue. Hiking trails are just points of concentrated damage which is one viable option.
> They get there from feeder trails and are constrained by what is traversable in the first place. And who gets to choose who walks off path? Everyone gets to?
Everyone gets to as long as they are in a low density area and don’t pick to exit at some interesting spot. You take a trail length divide by the number of people roughly using a trail, and as long as you get to ~1 person/foot per 50 years it’s fine to exit in a mathematically random spot not just because you pick what feels random. Obviously this excludes a great number of trails people frequent, but that’s kind of the point.
Now you should also avoid interesting destinations and be careful how you come back. Anyway, there you have it a scaleable rule that works for hundreds of millions of visitors without creating undo harm.
> Off-trail trampling causes millions in damage to national parks:
Did you read what you linked? That damage is explicitly mentioned as: “sinks ripped off restroom walls, road signs mowed down by some hooligan's pickup, spray-painted graffiti on roadside markers”
Nature is for us, my friend, but we have to be intelligent in how we care for it, and you have a very good understanding of how important that is. Cheers!
We must also care for each other in the same way that we should be caring for our beloved Earth, herself. Once we become consumed by compassion, we care for all we come into contact with. That is the pinnacle of human personal achievement, but few reach for that glorious happiness.