As an educator and an autistic,...and having autistic students myself,...this is going to be a nebulous topic. Perception,...I think there is often a critical misunderstanding of autistic individuals, in general,...mainly because of the broad, highly-variable presentation. Most people recognize the "stereotypical" behavior of a severely affected small child,...but not adults who may simply appear to them as "introverted" and/or "socially awkward". Although there are certain traits associated with autism, how strongly they present can very significantly, as well as certain sensory issues. The autistic experience is unique unto oneself, very difficult to describe to someone who is not autistic,...and even difficult sometimes to others who are autistic. Even on this forum, I read posts from people who clearly are living a different experience than myself.
Does society's perception of autism affect higher education access for autistic students? I would likely say it depends upon not society, per se, but rather who is in the position of authority (parents, instructors, counselors, etc.) that are interacting with the autistic individual and guiding the student through their educational pathway. Do these authority figures have some form of bias or critical misunderstanding that may make them recommend an alternate path for the autistic student? Although, certain societies and environments, as a whole, may represent some difficulties for some autistic individuals,...what you are asking is rather specific,...society's perception. From a social perspective, many neurotypicals might not know that they are interacting with an autistic individual, and many autistics would rather not admit their diagnosis to others for fear of some form of biased behavior from the neurotypical.
Furthermore,...sometimes,...it is the underlying depression (autism is one of the low dopamine neurological conditions) and low self esteem that affects the access to higher education. Sometimes,...it is the sensory issues. Sometimes,...it is the social environment. Sometimes,...it is the socio-economic situation of the student,...especially those working,...or not working adults who are on some form of assistance. There are a lot of compounding issues surrounding this topic of educational access for autistic students,...and each person will have their own context and perspective.