Hello!
The history is a bit unclear but I do not think this is the correct solution. For some reason this snowmobile path is tagged as an unclassified highway which seems wrong. The first example on https://wiki.openstreetmap.org/wiki/Path_examples shows that path with snowmobile designated I have also seen many that are only tagged with snowmobile such as https://www.openstreetmap.org/way/1160893397 which is fine as they show up on the snowmobile map.
What do you think about it?
Best regards,
bagis