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?
Anyway, I used to be slightly concerned with cross contamination and I guess I still am when I use a public restroom, but outdoors, I'm kinda like, all bets are off. I'll try not to make myself sick through carelessness, but if it's gonna get me, it's gonna get me. My Grandma used to say, " You've got to eat a peck of dirt before you die." She's gone now, so I'm not sure if she was saying that one must eat a whole peck of dirt before they get sick and die or if you will eat a peck of dirt in you lifetime before you die...

-Jason