First of all, what has this got to do with AA?
I walk around in my socks all the time on the plane and don't care what is on the floor. On takeoff and landing I put my shoes back on in case I need to walk on debris if there is a crash.
Nothing could be grosser than first year anatomy in med school when all kinds of flesh and other body parts would get stuck in the indentations of my shoes and my roommates shoes and invariably turn up in the carpet at home. On flights to Japan they give out AA slippers if you ask and I carry those with me on flights to wear.