You make a good point here, and I think TV would be more interesting with more diverse characters who are just there apart of the plot, not there because their disability is the plot. The few times shows have done this have really developed the show in my opinion.
I watched game of thrones for a while, and there was a character who was LP. Though his size came up sometimes in the show, he was a fully developed character outside of that. His character didn’t revolve around his condition and neither did the plot. I always liked the way they did that.
I never watched the show glee much, not a fan of high school dramas, though I loved the music! However there was a character in a wheel chair there which I liked. Though the guy playing him was probably not disabled, which is annoying. I’m sure there are people in wheel chairs who are actors, and they probably do a better job portraying such characters. Another example is the cartoon family guy where the character Joe is in a wheel chair. At times it is part of the plot line, but often he’s just a character in the show. Maybe that one is a bad example.

I’d like to see a character with cerebral palsy. I feel like so many people are uncomfortable with their slurred speech and lack of motor control, but if it was normalized on a TV show, then maybe we could all get over it. I know a number of people with CP who are quite intelligent and well spoken, but people won’t stop and listen to them because they’re not used to how they speak. Let’s normalize people.

Once when I was in junior college, this guy my age would come around and talk with me. I think he had Down’s syndrome, but I couldn’t really tell. He was clearly disabled, I never asked exactly how (none of my business). His personality though was of a wisecracking, rebellious, pseudo gangster, and I quite enjoyed his company. I remember all the stereotypes of people with Downs being sweet and childlike, that wasn’t this dude.
He often asked me to smoke pot with him. He once said to me
“You may be a nerd, but you’re a cute nerd.”
Yeah, imagine that, people who disabilities who have fully developed personalities that differ from person to person. They exist in life, let’s put them on TV.