Leaving aside the question of kids boarding an aircraft, in the middle of winter, with no shoes on - mind-boggling in itself
Here's a fun little exercise for you - guess which of the above posts have been made by people who aren't parents?
Have a look about you next time you are out on the streets in the middle of winter. You will see small children without shoes. With some kids it's physically impossible to keep them on, short of sewing them to their feet.