My issue is not that body odor can get you kicked off a plane (though after 36 hours of travel on buses, trains, and planes from remote parts of the world, I don't want to think too much about my body odor, though that doesn't apply here).
My issue is that AA makes no assertion that they investigated and concurred with the accusation. They accepted the passenger complaints at face value. So anyone with a personal or ethnic dislike of someone else can get them kicked off a plane? I don't think that AA has any personal or ethnic dislikes of anyone, but to not be alert to this possibility and do some independent investigation sounds like poor customer service training to me.