I don't have a disability, but I do have a chronic illness which makes dating a little difficult. I was diagnosed with fibromyalgia a little over three years ago. Most of the time, I'm in pain. I actually can't recall a day in a long time that I haven't had any pain. I get fatigued easily. I have headaches, stomach issues, and early onset pain after any kind of exercise no matter how light. And that's all in addition to the constant pain.
It's difficult because it's not something that people can see. If you were to pass me on the street, you'd have no idea that I'm ill. I typically tell people that I'm interested in dating right away, as it's something that will severely limit my ability to get out and do things with them.
I would say it's a 50/50 split. Some people just don't understand or don't believe that I'm in as much pain as I am. Things with them typically don't work out, as they'll try to keep pushing the boundaries with how much we can do activity wise. Don't get me wrong - I love hiking and outdoor stuff, but it has to be a really good day for me to be able to do anything substantial.
But some people do get it. I've found that looking for people who enjoy more low-key activities is the key to my success here. Movies, books, writing, video games, etc. Stuff you don't have to go out to do.