I took a picture today and cropped the above picture for easy comparison:
Scaling these pictures above:
AJ sign on left : ~65 pixels
AJ sign on right: ~70 pixels
Starbucks sign as advertised to commission: ~18 pixels
As build after approval: ~37 pixels
Width difference = 70/65 * 18 / 37 = 1.91
Area difference ( pi * (1.91 / 2)^2 / pi * (1 / 2)^2 = 3.65
I think area is the more important quantity here as it defaces the historical building that much.
So the AJ lied to the historical society more than 350%. Clearly they don't believe they need to follow the rules like everyone else.
And it's REALLY ugly.