Who is tossing their complete trust in the government now?
Yes, I do believe politicians would harp on something like this to curry political favor with an uneducated electorate that loooooves to grumble about the myth of "welfare queens". Look no further than the article I posted on Florida to show that politicians will do this to address a nearly nonexistent problem to the point where the testing program is upside down in profitability to the state.
The fact is, that many welfare recipients ARE contributing members of society, they simply make so little money that they need a little extra to get by. Or they are people down on their luck who are actively trying to re-enter the work force. Long-term welfare recipients who never contribute anything to the system are not exceedingly common. But waging a war against them (whether they exist or not) is an exceedingly popular political tool.