As a preschool teacher the problem is the ballsy children are the ones who try to push the rules in school. They are the ones who will come up and hit or kick another child or you and when they are told the need to take a break for their actions starts crying and saying I don't want too. When you make them take the break they continue to cry or act out.
Those children that are always apologizing children are the ones we tell that everthing is ok and not to worry about it. Unless it is something they really need to apologize for a example when they make sad choices and hurt a friend.
RE: Plague of Over-apologizing: start raising gutsy kids