@pleonasm - Almost every activity has the potential to make kids feel left out or bad about themselves if it isn't handled well by the teacher. I can remember our PE teacher trying to increase our self esteem by pairing us off and blindfolding one of the pair so the other could lead them through an obstacle course.
I wasn't a very popular kid at that point and I couldn't find anyone who would pair up with me. So I had to sit the activity out.
Now that I have some teaching experience myself, I realize the teacher should have prepared for that eventuality and assigned partners, or put people into groups of three so no one would be left out.
But when I was a kid it felt like the end of the world to not be chosen, particularly for an activity like that. It was just one more in a series of awful experiences in PE.