There is a difference between the can't and won't work groups.
Yeah, one of those groups exist and the other doesn't. The "can't work" people tend to be white people who abuse SSDI. More government dependency there. There is no such thing as a "won't work" group. It's a fevered delusion the right-wing concocted to justify their shitty policies no one likes.
I bet you're on SSDI, aren't you? Most keyboard right-wing warriors are. They have a "bad back" or "pleurisy" or some other bullshit.
A bigger problem is certain ideologies incorrectly tend to classify the won'ts into the can'ts. There's also another distinction that should be made between the didn't cause their situation and in that situation due to your own bad choices. When it comes to the won'ts and the caused their own problems by their bad choices, tough shit. It's not someone else's place to offset either one.
The "won't" doesn't exist.