I would bet if I had to recognize just the left half of many celebrities faces with my left eye only I would score fairly low. Using the right eye I think I would do slightly better. However the scores would be much higher if I saw the right side of their faces.
When I use my left eye to see the left side of faces on TV it is hard to know what to look for to identify the face. I don't know where to look and what to commit to memory. My impulse is always to look for the right side of the face first even when I am trying not to. I cheat by identifying the person first and then look for the left side. In the mirror my left eye is my familiar eye to look at. It would be the right eye on someone else