Oh, there is a magical bucket of full ride plus for those kids who have managed to get the courses, grades, test scores, guidance to apply to the few top schools that meet full need and get accepted. All despite a low EFC and usually the challenges that come with it. No doubt there are some kids who sneak into this crowd undeserved as it does happen in any and every scenario.
But, anyone can join this crowd by giving up assets and income. No guarantee your kid will get the golden ticket from that magic bucket, but it gives him a chance.
People are miserably obsessing over those who just might get full financial aid at the HYPMSC etal when they would have to pay out of pocket. That there is no chance for merit bothers the heck out of them.