Back in the 1980's they identified 16 totally different forms of schizophrenia, each with different casual factors, symptoms and treatments. (They look different too in MRI scans btw) It's an umbrella term for a wide variety of different disorders. The causal factors range from serious trauma, to sperm mutation in old Dads, to family genetics and environment depending on the specific type.
I'm waiting for them to admit "Autism" is also just an umbrella term, I personally think for at least 20 differing neurological conditions with a wide range of causal factors and potential treatments. (For some milder forms I think there may one day even be a cure). My gut feeling also is that some forms of autism are to do with biochemistry, while others are to do with the physical structure of the brain.
I've done far less reading up on Autism and would be happy to be proven wrong but I'll accept that perhaps a subset of ASD's and a subset of schizophrenia's may be genetically linked.
I'm also not completely convinced that some of the milder manifestations of what we now consider to be neurological disorders are not simply evolutionary variants in brain wiring that means some individuals do not "fit" our current environment. (Think of it like a Redhead going to live in the sahara without the benefit of sunscreen or a hat. Or even what happens to the original "rednecks" - the English and Irish white slaves who dropped like flies on Southern plantations. It was found that the "negro" slave was better able to survive the contemporary conditions.).
I also believe that we still need these neurological variants in the gene pool as the planet & societal environments have abrubtly changed before and could do again in the future. (just as having one sickle cell gene has helped mankind as a whole survive in malarial invested parts of the world, but having 2 has been a disaster for the individual).
I've never done enough research into the other conditions mentioned to even have an opinion but think that the scientists are missing something seriously important if they honestly think that ALL forms of schizophrenia and ALL forms of autism even ALL have a genetic basis is a generalisation so ludicrous it cracks me up. It's also potentially very dangerous as it could impact on societal attitudes, and Lord knows we already face enough unfair predjudice in some quarters.