I haven't seen the television show about the six kids; I rarely, if ever, watch anything on regular television so I'm not up-to-date about sitcoms, popular music, etc.
About sensory integration dysfunction--it usually lessons are subsides in adulthood. I'm an example of someone who still experiences it to a substantial degree--enough that it can interfere with my day-to-day life and relationships with people.
I think sometimes girls are overlooked when they are actually on the autism spectrum. If a little girl is seeing a speech pathologist, has peculiar special interests (like fire fighters, police vehicles, etc.) and sensory issues...well, perhaps I would get another opinion if I thought it might help me understand or make the child's life better.
The main concern, I've noticed, for many people when it comes to receiving a diagnosis is whether or not the diagnosis will be harmful or helpful. If a person is functioning within their circumstances just fine and, perhaps, they don't even know they have autism or this "difference" about their brain, then why seek any kind of treatment?
On the other hand, as in my own situation, I tried exhaustively for years to figure out what was wrong with other people, why they seemed so dumb, what was wrong with me, why I couldn't carry on a conversation with people, why I felt left out of social situations, why certain things annoyed me so much that I had to get away, why I reacted the way I did to sounds and smells, why I felt so "strange" and "uncomfortable" ALL THE TIME, and why I thought weird, unreasonable things--like when I was younger I thought there was always someone watching me. I knew it wasn't true, but it felt that way. I thought people could see through my clothes. I knew they couldn't, intellectually I knew, but I felt like they could. I couldn't stand the sound of my own voice. It sounded terrible, embarrassing and horrible to me, so I spoke so quietly as to barely be heard.
Everyone just said I was "weird" and I thought maybe they were boring or just kind of dumb, especially when they bothered me about my preference in friends and the food I ate and the music I listened to and my views of the world.
It was a long journey, trying to understand all of this, and I have been fortunate in many ways (well, perhaps not fortunate--maybe just that my preferences and choices have led me to some good things).
There is a pain, though. I think it is this pain that young children and adolescents with autism cannot express. Adults suffer, too. But with the young children there is the challenge associated with all the ignorant neurotypical adults who impede upon the parents. I've heard stories about strangers telling parents to "control their brat", etc.
Ignorant people. They know not what they barf from their putrid pie holes.