Very good points. This may help a bit... I have a double Wolf winder (w/out the storage part) and, when you're looking at the winder from the front, it's 11.5" across, 8" from back to front and about 5.5" from top to bottom.
As for the AC cord, the plug has a larger part that extends 1.5" out the back. However, since Wolf didn't bother to use a 90 degree connector, realistically speaking, you would need at least 3" of space out the back to avoid bending / breaking the cord. it's not the best arrangement as I would not recommend placing the back flush against a wall on your bedside table or dresser.