All you have to do is look at a person who tans a lot either outdoors or in those awful tanning beds and see how it affects their skin. Or compare your own skin on exposed areas to areas where the sun never shines. Since moving to Arizona, I'm astounded at the rate of sun damage on people.
Sun avoidance and a diet rich in antioxidants will help greatly in preventing wrinkles. Whenever the body is lacking in nutrients and water, the skin is the first to feel the effects, as the body works to protect the inner organs. ASo in theory, all cleansing may help these nutrients reach the skin. But I wouldn't expect a miraculous reduction in wrinkles.