“while sanitizer would help reduce surface germs from coming into the store.”
How? Specifically how is using hand sanitizer going to reduce the germs? Again, there is no magic here. A person can simply touch their nose, another part of their body, or something else, and that hand sanitizer isn’t going to magically keep away the germs.
This isn’t Hogwarts.
Note I said killing germs on someone’s hands “coming into the store,” not beyond that point but other measures and personal conscientiousness and responsibility might help mitigate beyond that point. Meanwhile the mask might deter face touching.