Yes the state of the bridge is exactly as you described. I didn’t catch the tags you updated.“, sorry for the confusion.
On the rest of the path it don’t recalls anything indicating it’s a path. If it hadn’t been on OSM I had just considered it off-road walking. 
Only the very „last“ bit like 10 meters from the road to this point https://comaps.at/44DAIBapT2/Map_Point are indicated as path.
I suggest to remove the other part of the track completely.