Its also the angle viewed at. Sometimes one might appear higher depending on head position. It could be a way of tracking, or like we prioritize function. Most people being right handed, it might make sense to have a bigger, more specialized right eye. It may appear uglier (Ive considered many a right eye to look "reptile" like... colder... not that that is ugly) than the left. I've been interested in facial asymmetry for awhile. How emotions are displayed, and read.
I've read that males tend to view each others left eye more. When I had trouble with eye contact in my late teens and early 20s due to certain anxiety, I began to focus on the left eye primarily, of males. It felt comfortable and natural, more so. Eventually I have grown to have no aversion to eye contact. My eyes connect naturally. But I had to enter in through the left.
Women... I sometimes think they require more right side attention. I don't know. I still shift. Maybe I'm afraid of their more emotional side.. But I understand male "emotional", left side face. That generalization is just that, though. General. There is just some difference.
I have noticed the left side sits back a little... While the right is forward. So maybe yea, left is up and back generally, and right is forward lower and bigger.