The studies mentioned don't show that using hand sanitizers is ineffective, just that mailing the sanitizers to people along with informational pamphlets is ine

The studies mentioned don't show that using hand sanitizers is ineffective, just that mailing the sanitizers to people along with informational pamphlets is ineffective. If you actually read the first study they report finding a significant (though small) effect on respiratory infections for families that claimed to have actually used the products.