Maybe I'm just dense, but I don't see the problem with the hand sanitizer bottle.
You find you need to sanitize your hands, so you pull out your squeeze bottle of hand sanitizer, squeeze some into your one hand and put the bottle back in it's stored location with the other. You then rub sanitizer between hands resulting in sanitized hands. The next time you reach for the bottle, your hands will be contaminated anyway, right? Did I get it or did I miss something?
Come to think of it, you are right. If the bottle has a designated location, then there is no cross contamination.
Jeanette Isabelle