Wouldn't it be more likely to drip on to the floor than on to the toilet? I presume they probably just stand in the cubicle, lean against the wall type of thing. Straddling on the toilet seat wouldn't work given the anatomy in use.
Public toilets are gross in general, people leave the lids up all the time when they flush, leaving poo and wee particles in the air, on the walls, on the doors and door locks etc. And then people use those gross air dryers which just further sprays germs all over you. I don't think hovering over the toilet is going to protect you from the germs in a public toilet.