Hi there,
You marked this path as private: https://www.openstreetmap.org/way/583774658
But it is used by this waymarked hike: https://www.openstreetmap.org/relation/13939335
Is that wrongly mapped or is the tourism organization suggesting the wrong paths?
In any case, please share your sources for edits like this. Everything in OpenStreetMap should be based on what you can see on the ground, and if that's really impossible, it should be verifiable against publicly available information. 