I dont always pee whilst standing, but when I do I lift the seating ring to prevent absolutely any spilling over it at all. It is not that hard. There are no excuses. When I go into a public toilet and the sesting ring is full of yellow-greenish droplets, I am disgusted at the slovenliness and the poor disposition that people seem to have.
I don't think public restrooms are indicative of people's bathroom habits. A lot of people, myself included, are disgusted by the idea of touching a toilet seat in a public restroom and as such, will not put in the effort to lift it.
That doesn't mean I don't lift the toilet seat up at home though.