So the implication is that all people on disability are shiftess, lazy nutcases? Am I reading you right?
Logic fallacy: Composition.
The informal fallacy of attributing some feature of the members of a collection to the collection itself, or reasoning from part to whole.
I did not commit this logic fallacy. Did you?
True statement: Some people on disability are simply gaming the system.
False conclusion through the logic fallacy of composition: All people on disability are gaming the system.