This begs the question, is any other treatment known to produce such strong results?
It's like finding a couple dozen people with the flu, feeding them chicken soup, and then reporting that a month later they feel healthier, so the soup must have helped. Maybe it did, maybe it didn't, but you didn't measure that so you don't know.
According to this professional medical trial, the recorded ASD scores are "based on the Childhood Autism Rating Scale (CARS) rated by a professional evaluator"
You should have specific knowledge of that evaluation in order to criticize it as relying on "subjective questionnaires" and shouldn't introduce doubt by simply stating something as "given".
I have two children with combinations of these symptoms and it's staggering how many of the symptoms could be interpreted either way depending on the classifying doctor's specialty.
Great, so we have a study showing that either the treatment or the placebo effect is very strong. Wait, that's not very useful, isn't it?
No need for a control group the effect is so strong!
Studies of psychological conditions are notoriously hard because much of the quantification is subjective, but this study wasn't even blinded and had no control.