Oh here we go - I'm in for a flaming but ....
Just been to friend's house. Their daughter is same age as my DS (2.5) and she is potty training. For some reason my friend didn't fancy letting the children run about in the garden so we were in her lounge with me looking longingly at the sunshine. Her DD was wearing no pants - which of course is totally fine. The potty was in the room.
Four times whilst I was there her Dd squatted down on the potty and did a wee. Each time she just then got back up and started playing again. No wiping, so some of the ride-on toys had pee on them and drips on the carpet. No washing of hands either - although I can appreciate she didn't 'touch' anything so maybe there is no need? The potty was emptied eventually - but only after a toy fell in it.
I haven't started potty training with DS yet so I'm fully prepared to be told I am BU but surely you would wipe and then wash your hands? Even if it is twice and hour while they are still learning?