Yeah I think there is a deep infection here, but it has nothing to do with poverty. It begins with the idea that if you take social assistance then social assistance must be a good thing. Or that somehow you must support it. As you are demonstrating by your words, this isn't any good at all. For Joe, Sarah, you, or anybody else. This same logic holds that if you don't send your kids into the military, you can't support a war. One supposes that everybody must volunteer at the local fire station or go without emergency support, or that those who took a pencil in second grade must somehow support armed robbery as a way of life. Give a man a fish, and he must support government sanctioned fish distribution for his entire life. It's the one-size-fits-all, if-you-were-touched-by-it-you-must-endorse-it thinking. Not good. Not good for anybody. Let's move past such rhetorical nonsense.
Here's the thing: it's one thing to explain something that you understand and know how to fix. It's quite another to simply cite statistics and general correlations. There are a lot of folks who think that positive mental attitude can lift you out of poverty -- I am one of them. And there are folks that think it is mostly luck. (I also think luck has quite a bit to do with it as well) But I can guarantee you that anybody who thinks that life is pointless will never make it. I also observe that after trillions spent on LBJ's War on Poverty (one hopes it did not involve shooting poor people) we are no further along than when we started. So for all the bluster, we do not have the answer. We have a lot of complex ideas and theories, but we have no answer.
We do not know how to lift people out of poverty. We DO know that hopelessness and despair will prevent folks from succeeding. You can either sit around and dress up correlation as "giving them cold facts" or you can help with attitudes. That's just what every poor person with a poor education needs -- some rich college guy with a $50 vocabulary going on and on about how the system is against them and how they'll never make it.
When I was poor, I knew people like this. Oddly enough, many of them were college educated. It was always pointless, the system was always corrupt, the rich guys always got richer and the poor guys always got the shaft. It's mental disease masquerading as wisdom. Guys who felt that way are either still there, dead, or in prison. You can be in a hopeless situation and still have joy and hope. Unless you listen to some people.
Like I said, you sound more part of the problem than the solution.