We often say, that how we feel is reflected in our looks. The converse is also true, and how we look, can affect our feelings.
From the feed back from my patients over many decades, I believe that it does. My patients tell me that after rhinoplasty surgery, they have got more self confident, as they no longer feel conscious about their nose. The same feeling is reflected by my patients after various procedures. After gynaecomastia surgery, my patients have been able to go back to the gym as they feel more confident about their body. This improves their physical and mental health. Similarly post liposuction too.
If you look better, you feel better, and that makes you a happier and a better person.