I can't imagine what the big deal is about this. My DH uses both body and face moisturizers as needed. His dislike of unscented stuff is about like mine: neither of us can stand the smelly stuff.
Right now he is using an anti aging deep wrinkle cream/moisturizer I bought that was too harsh for my skin.
We both use sunscreen religiously, although DH did not when we first met. But that was 30+ years ago. Live in a desert climate and you get first hand knowledge of what the sun can do to your skin, even way back then...