Focus and recompose, or compose and focus?

Portrait photography often means short depth-of-field.  In fact, when the photographer is close to the subject and a low aperture (such as f/1.8) is used, then the depth-of-field an be as short as one inch (3 centimeters?).  Even slight variations in focus can take the focus off the model’s eye and make it slightly blurry.  In portrait photography, the eyes …