You're points are correct. Although, many students don't take ASI as a tutorial or learning session. It gives them more frustration then they need. They shouldn't be forced to stay for after school intervention.

I think they shouldn't go to ASI because they didn't complete an assignment. It is there choice in what the want to do, most kids don't learn anything from sitting after school and just waiting to get home. Its not going to prevent them from forgetting, or not finishing there homework. It also can give a child stress and frustration at home with their parents or guardian at home, from not doing one question on a homework assignment! Maybe they forgot or didn't see a page they missed. Students shouldn't be forced to do anything.