Sounds like a great idea! Thanks for your help!

Yes, I surveyed it in person, and yes, I walked that path, and no, I did not see any sign that it would be private, but this was ten years ago so I don't remember all of the details, and if I inspect https://map.geo.admin.ch/?lang=de&topic=cadastre&bgLayer=ch.swisstopo.pixelkarte-farbe&E=2658457.92&N=1144399.72&zoom=12&catalogNodes=2492&layers=ch.swisstopo-vd.stand-oerebkataster&layers_opacity=0.75 then it looks like it should not be a path. Let's delete it - I don't think it will cause any problems for hikers :-).