Hi, There's some misunderstanding. Firstly OSM is a database openly maintained by anyone who wants to contribute. The only stipulation to features in the database is that they are ground truth and verifiable by anyone else. 

You have removed the tracks across that field from the OSM database. I'm not contesting that as they were not linked to the general highway network. Some aerial imagery showed the tracks some didn't. 

OSM is not Google Maps, Google Maps is a private company. The tracks across the field are not on Google Maps anyway so you have no worry there.

There is a track on OSM and Google Maps leading to the caving club. Whether it has a public legal status or not is of no import, anyone can add such features to any map. If you can see it, in any way, you can map it.

Regards Bernard.