Do you think Fi manages self-image?

IME, many people who value Fi have a light preoccupation with "fakeness" (ie. disingenuous behavior, action incongruent with morals, etc.). The notion of fakeness, then, seems predicated on someone's image. In other words, it's as if, according to Fi valuers, an image must be maintained.

But does Fi have a direct relationship with "image" or "self-image"?