Urine is sterile as far as I understand. The stuff that's in some people's poop on the other hand... That they get on their own hands and touch all the door knobs and stuff, well, let's just say I'm happy washing my hands after I use the restroom.
So I agree with this. I will always wash my hands if I go into a public restroom. Even if I'm there for non-waste related reasons. In my own house though, I have no such rule. Sometimes I will, other times I won't.