If you really wanted to simplify your label, you would go to the store, buy a Dove bar, and copy the panels of information. Why Dove? It's a mass circulated brand with a lot of formulas that clearly make cosmetic claims. My mother's box of Dove bars has a panel of great info that in fact, claims the white bar is"Beauty bar for deep moisture."
Then it says, "Everyone knows the secret to beautiful skin is everyday moisture. Simply put, no other bar hydrates skin better then Dove. And when used daily, Dove can even even reduce the appearance of fine lines over time. What can we say? It's just that good."
Then there is one more box that says, "Dove doesn't dry your skin like ordinary soap."
!
I'm pretty sure if Dove can go on like that, it's okay for you to label your soap "Moisturizing Soap."