What information DID they receive?
For next round, can you get your hands on other info? IEP records, school correspondence, etc.?
Did they just gloss over the Aspie diagnosis? That's way bigger than ADHD.
There are formal assessments of level-of-care for kids... ones where you sit down for an interview with a caseworker and they ask a hundred (seems like it at least) formal questions that then go into a scoring system. What comes out is a medically-accepted definition of the degree of care this person needs. They look at stuff I wouldn't have thought of, like number of specialist appointments, how many things get broken/damaged (whether by accident or on purpose), behaviours, attitudes, etc. If you could get a formal screening, that would also back you up.