Lets go a little further. My view is that if you peed on your hands, you would probably not be content to just shake it off, you would want to wash your hands. Ergo, why would you be happy to leave the drops on the end of your willy, merely shaken off and not washed? So I think you should wash your hands always, and your willy whenever practical (you might get some funny looks in the pub loo, for instance).

Moving on to the fecal region, similar principles apply. If you got shit on your hands, would you just wipe it off with a piece of paper, or would you prefer to wash properly? Ergo, what about the vestiges of shit that the paper doesn't remove from your bum? So I think you should wash whenever practical - which probably restricts you to the shower or bidet at home - rather than the basin in the pub loo!

A final thought - most urinals in the UK are auto flushing, but it only seems to happen about once a week. Sur le Continent, the urinals have flush handles which the locals use almost always and the British seem to use almost never.