I remember my Mom said that a male cat I use to have was Autistic (this cat being Pooh Bear) cause he had some of the traits, although Cuddles a female cat I use to have would never have fit Autism assuming cats could be diagnosed Autistic, although my current cat Nermal, good question on if she could be classified Autistic, although my Dad said Nermal probably is Autistic.
Then again good question if a human can really pass some of their characteristics to their cat too, if that is the case then Pooh Bear (past cat) and Nermal (current cat) could both have copied the traits from myself, except Pooh Bear lived among several humans but for over a year my current cat Nermal had me as the only human most of the time,then again Cuddles (another prior cat) like Pooh Bear had numerous humans around too and did not pick up any autistic traits (assuming any cats can do this).
But yeah good question on all this I guess, but I do know my current cat Nermal does follow me all over the house as I am her favorite human.