I don't walk with a limp or anything "obvious."
While there are jerks out there who misuse disability-access parking spaces, most of the time, the people utilizing them — ahem, me — have legit reasons for doing so.
I cannot even count the number of times doctors have offered me a hysterectomy as if they are doing me a favor.
We can accommodate disabled actors: we just choose not to. The problem here isn't the disability, but attitudes about disability.