Thanks for the explanation.
At least in this case there is no other text below the large "ΦΑΡΜΑΚΕΙΟ", so another "name" isn't easily verifiable (for me).
Another example: If only the descriptive name "Rathaus" is written at the entrance to a town hall (in Germany), I use it for the name too.
But anyway, I am fine with "no name", if that is the consensus in Greece.
Have a nice week!