you bundle it like a paper basketball and shoot it from the stall.

You must be talking about a public toilet? I think most "normal" or home toilet routines go out the window when using a public restroom.

Women's bathrooms have trash cans in the cubicle.

> No because it would stink up the place and someone can touch your poo while taking out the trash

How about menstruation pads? Are you afraid to touch those as well when you take out the trash? Because what you said is true for anything which resides in a trash bin or compost bin. Heck, my plastic bin sometimes smells like rotten fish. It is disgusting. But that's what you get when you eat fish.

Yes. I've spent time in countries with poor plumbing systems and picked up the habit. I've found that it does not stink up the trash since it dries quickly. Additionally, if you put the poo side down it all stacks up in the bin until you take it out. Since I started doing this at home I have not had to unclog a toilet.