Thanks for the note. I have updated the path that leads off of state land as private. From satellite imagery, you can see there are trails there.

Private and unofficial paths should be mapped, just like the nearby driveways. If they are tagged properly and someone is at the location, they should still be able to make an informed decision and follow the park regulations. I have wandered down unmapped trails like this just to find out it went to private property. At least now someone will know that path leads to private property and can avoid it.