most public and work places have taps which turn themselves off, unlike homes.
They don't at my uni, and same where I worked for my summer placement
You are kidding right? I am sure your co-workers and house mates enjoy touching the doors which have a fine coating of your urine.
FWIW I do wash my hands, I just often wonder if it's a pointless task, I just do it out of routine more than anything though.