I still maintain the dirtiest thing you touch in a public restroom is the door handle. If you only use the urinal, should you really need to wash your hands?I think the train left the station on that a long time ago... or rather, the shitter left the stall and walked right past the sink and out the door, or did stop at the sink but did water only and skipped the soap, or... well, you get the idea.
I'm not a germophobe, not the kind of person who freaks out at every turn in public places, but there are a lot of disgusting mofos walking amongst us, I'm just sayin'.
I get washing after dropping the kids off at the pool, you are handling fecal material when you wipe (especially given the single-ply John Wayne toilet paper on all the bases) but if the urinal is self flushing and you can manage not to piss on your hand, what need is there to wash?