I see your point.The median line is different for Arial Rounded MT compared to what they are showing on the sign. Look at the 'E'. The median line is above the halfway mark on the Arial Rounded MT and is below the halfway mark on the logo.
EDIT: Now I'm not sure, the lighting is so bad. The first 'E' appears slightly different than the second 'E'. I'm guessing it's the lighting and angle of the photo.
View attachment 329012
As an aside, someone ask my firm to build something.
Looks rounded which would exclude Avenir and Gil, but, that may be the poor quality of the photo.