No, you compared the wrong aspects. It's objectively a mistake. The debate isn't about TANF eligibility rules; it's about a requirement that recipients of that particular gov't benefit, unlike other gov't benefits, not be allowed to spend their money according to their own judgment.
Yes, that is the difference. If they give you money for being middle class or above, you can do whatever you want with it, and if they give you money for being poor, you're presumed to be unable to decide how to spend it yourself and generally a lesser human being.
The mortgage interest is a handout, though. It's not their earned income, really. Framing it as a tax break rather than a check is irrelevant.
This is an irrelevant distinction. The gov't could eliminate the deduction and send cash to people instead with no change in anything. Likewise, it could provide tax breaks to families eligible for TANF and eliminate the payment with no change.
To-may-to, to-may-to. Come on, you're smart enough to understand this.
That's not a strawman. A strawman is a weaker form of an argument that someone brings up to discredit one. You know, like what people talking about tattoos and shit have been doing in this thread. What was I doing was using the same argument in a different context to illustrate the absurdity of it. The argument is that people who get one source of supplemental income from the gov't buying X are "using gov't money to buy X." Why wouldn't that apply to people who get the mortgage interest deduction?