An effect with a small magnitude can be highly statistically significant, and vice versa.
If you don't understand the very important difference, then you probably flunked out of freshman stats.
No need to throw shade, BTW.
Of course, that's if it were households which earned a median income that received the benefit. Given the correlation between poverty growing up and poverty later in life, it's likely more like a 5% increase per household on the low end of the spectrum, which I would call a fairly strong effect.
And $500 seems like allot to privileged people but even shopping at a bottom level chain such as Ross, you could get 50 pairs of pants for that price. Or a loaf of cheap bread almost every day.
Even for someone just above the poverty line it represents a 5% raise and for the 40 million below that, even more.
If data don't match ideology, it is not the data that is wrong.
[1]http://www.nber.org/papers/w22721?utm_campaign=ntw&utm_mediu...
Suggested edit:
"The remarkable thing that happens to poor kids when you help parents with rent"
=>
"Children of parents who receive public housing assistance associated with having better life outcomes"
Based on what data?