How any male born after ~1960 could think draft registration ceased eludes me. Unless they decided to disobey existing law, of course.
Remember, we are dealing with a couple of generations with high percentages of not very attentive, aware, or intelligent people. The commercials about "it's quick, it's easy, it's the law" during my Saturday morning cartoons made me aware of the requirement long before I hit 18. Now if it ain't in their algorithms, most folks under 25 don't know it exists.