photogenic deals with just the appearance of a person, not their mannerisms, 'aura', or personality.
And yes, your personality comes out in the way you appear to other people because of the way you hold yourself, and the way you move.
A picture is just that. A picture. It doesn't tell any of the story of the person.
However, in some portraits, the really good ones, you can capture a persons personality. Whether it be with a smile, gesture, or glimmer in their eye.
And that portrait will always be better than one without that personality, regardless of the persons photogenic appearance.