I do wash my hands. I see many who don't and it amazes me. Paper towels work, and so do the "jet engine" air dryers available. For those who use thumb protection tape, you can still wash your palm and other fingers carefully and keep the thumb dry for your next shot.
I admit that I'm a little bit of a clean freak. I'm okay with that. Okay, so I'm a little O.C.D. about cleanliness...
I'll likely not be the one who gives you your next cold either...