Nut trees in Dog Parks

There is an off-leash dog park near my work. The area used to be farm land many years ago, and there are a few remnant nut trees in the dog park - chestnuts & walnuts. There are some of these trees elsewhere in the neighborhood as well.

I have been foraging from the trees in the neighborhood, and while I was foraging in the dog park I noticed that there seemed to be quite a few more nuts on the ground than outside the dog park. Then it hit me that there are probably no squirrels in the dog park (at least not during the day). Indeed I have never seen a squirrel in the dog park. But I have seen many squirrels outside the park.

Of course this makes perfect sense when you think about it.

Anyway, it seems like it would make sense to plant nut trees in a dog park, or have a dog park in a nut orchard. Also if there are dog people wanting a dog park, and nut people wanting a nut orchard (or a dog-friendly food forest), they should talk to each other and perhaps combine resources.

Thats a cool idea. One issue that comes to mind is harvesting nuts like a pecan among the dog poop. I can see rolling one of those nut catchers over the ground and picking up some dried pecan shaped turds too.
This wouldnt be as big a deal with sealed nuts.
The key to security would be making sure the canopies did not hang out over the edge of the park creating a bridge of access for the nut thieves.

Here's my experience with dog poop:
- Chestnuts - no issue at all. I don't think the dogs like the spiny chestnut husks so they pretty much stay away while the nuts are dropping.
- Walnuts - Just a minor issue. People seem to be pretty good about picking up after their dogs.

Needless to say, I wash everything really well But all the nuts are in a shell which is often also inside a husk so I'm not worried about contamination.

I wonder too if the trees like the "nutrients" provides by the dogs. I suspect that they do.