All true, but I sense that sanitizing surfaces has as much to do with consumer confidence as it does with actually preventing infections. This is a respiratory spread virus that seems to have somewhat limited survival on objects. It would have to go from the shopping cart to your hand and then your nose( in an infectious dose) to infect you whether or not you are wearing a glove. If your mask is on, your contaminated hand can't reach your nose or mouth. Masks trump gloves. If you have no hand sanitizer in your car, then maybe gloves do something .
What do I do? No gloves but frequent Purell. Just to be safe.
But my quibbling isn't important.