I think the view in the picture is real. There should be quite a few rooms on the back side of the BCV with this view. However, if you go out on the balcony and look down, you will also see the road. From the lower floors in this area, you will see the road, but no Epcot.
I don't know if this will work, but I'm trying to insert a picture I took of the map of the Beach Club complex in the lobby of the Beach Club. I marked in blue the areas that could potentially have an Epcot view (I think some rooms maybe be blocked by trees if I remember correctly). Areas in red my actually be able to see Illuminations each night.