Autism is "vaguely heritable." That's the way I would look at it.
Certainly, it is not "genetic" in the "Mendelian" sense. Like Sickle Cell Anemia is.
There is not merely one cause of autism, unlike Down Syndrome, which is caused by an extra chromosome in the 21st pair of chromosomes (Trisomy 21). Down Syndrome is not directly inherited, either. It occurs spontaneously; somewhat more frequently among, especially, mothers who are relatively advanced in age.
Absolutely true about the twin studies; frequently, though, one twin is less severely affected than the other.
One can inherit autistic traits from their family; one, however, can be autistic even with totally "NT" parents and family.
I would purport that there is not one "autism"---but many autisms with many causes, genetic and nongenetic.