Based on my and other responses, you can see that a lot of public restrooms have more open stalls, many of which have thin vertical gaps which people can see through if they look hard enough. The stalls also doing go up to the roof and fully down to the floor. Recently, some stalls have additional pieces of metal to cover the vertical gaps, but the gaps at the roof and floor aren't covered.

You'll be out of the sight line for pooping, but it isn't fully private and there is nothing stopping others from hearing what you're doing. A lot of people have a visceral reaction to that.