Earlier quoted context omitted.
It's not cheaper to allow error when the error is the only thing driving excess cost.
What evidence do you have that erroneous benefits are the only thing driving excess cost? Do you feel that correcting the errors can be done with no cost whatsoever? We can argue about where that break point is, but the break point absolutely exists. There is a level of verification / enforcement that will cost more than what you're getting back through reduction of erroneously distributed benefits.
I have such a hard time staying so level. It's so obvious to me what a a benefit internet connectivity is to this nation. Giving families access will set people on far better paths, will have economic returns for the nation. The costs here seem not bad. I'm definitely not worried about a couple arguably less deserving people getting access, especially given the relatively minor pay-out involved. It seems obviously not worth it to care so intensely about some borderline cases of oh you make $62k now (or whatever), sorry you are cut off now.
Ideally we would be figuring out how to make connectivity a public utility, as so many municipalities have done over the world, greatly reducing cost and increasing speed. But in America we keep having to pay businesses to do things at enormous costs, protect their absurd profit margins, because in part there's so much fear & angst around government & public ownership.