Sentra, about your reasoning, its fine. The common rule is full of assumptions. You just aren't clear on them yet. (OK, its not full of them, there's only 3.)
First, assume that you're facing the head of a bold or stud. (If you're facing some other way, you might as well do something else.)
Now imaging the bolt (or nut on stud) twisting. Notice what happens at the top of the bolt (closest to your head.) It moves to the right or left, correct. Also, notice that the bottom moves in the opposite direction. So, clockwise or counter-clockwise can been seen to move in both directions.
In my mind, the RULE apples to the TOP of the bolt. You had your socket pointing down, so you were considering the BOTTOM of the bolt's 'twist.'
Note that this rule applies just the same if you happened to be hanging upside down. It doesn't apply if the head of the bolt is facing away from you (i.e. the first assumption noted above.)
HTH