So in all those examples, the people are/were lying?

I don't think so. Luckily I'm not disabled and never had to see just what the TSA does or doesn't do for any particular disabilities, but I've read tons of news stories about TSA stupidity with disabilities. Enough to believe that regardless of "policy" the TSA does what is easy and expedient for them, and what they think they can get away with, which includes forcing people out of wheelchairs and off crutches, removing prostheses, fondling urine and fecal devices, etc.