According to https://gemeinde.fischbachau.de/fileadmin/Dateien/Dateien/Gemeinde/ortsplan-fba-09Stand2.9.09-1.pdf there is clearly a "road" called Grünberg (as well as Untergrünberg), so I don't see any evidence why this road should be noname=yes.

As for addr:place not address:street: 

Not understood, in https://www.openstreetmap.org/changeset/152572691 I did tag the building with addr:place - which might be wrong in fact - *if* we can agree that the road name is correct.