The system does currently say "tough shit" once resources have been exhausted. They just come in a bunch of different forms, and are sometimes incredibly difficult to deal with. I got somewhat involved in activism and support work for homeless folks a few years ago, and it was eye-opening. So many of the chronically homeless are mentally ill; and so many of them find it impossible to navigate the system to receive benefits because of their mental illness. The process is horrifically complex; when I tried to help folks get through it, I also occasionally found it impossible to figure out which benefits someone qualified for and how to apply for them. This was especially problematic for people who'd been kicked out of their family home as a teenager, due to being gay or other conflicts, and had never had a government-issued ID.

So, I've come around to a basic income, especially for the people who have the hardest time making it through each month. The people I know who have had success getting out of homelessness did so only after they had some sort of steady income (whether that was a part-time job, or getting some sort of cash benefit from the state). Almost every person I've worked with had been through the system a few times; they'd been provided housing one or more times, but had lost it due to being unable to keep up with the requirements (regular paperwork, office visits, etc.). They'd had food stamps occasionally, but also found it hard to keep on top of the process to continue the service or restart it after having found some short-term employment that disqualified them.

Honestly, the more I've interacted with the current support services in place, the more confident I am saying that it has the opposite of its intended consequence. I think it further entrenches people in cycles of poverty. And, not because of the bullshit GOP rhetoric about pulling yourself up by your bootstraps or whatever. It didn't take long for me to realize that if there is no support infrastructure for the most in need, it is equivalent to saying, "If they can't support themselves, they should just die." because that's what happens when people completely fall through the cracks of the current system, which happens more than most people realize.

Anyway, what I'm trying to say is that you're arguing in support of keeping a system that doesn't exist. There's already a point where the system says, "Fuck off and die." And, from what research I've seen, and from what I've experienced among the handful of people I've been around as they've gotten out of homelessness and began to be members of society on an equal footing again, is that the most sure-fire way to help someone out of poverty is to insure they have a steady income that they can plan their life around. Mysterious and arbitrary benefits increase the uncertainty of being in poverty; not knowing if you'll still have food next month, or not knowing if any given medical problem will be covered, leads to lots of sub-optimal decision-making.

Basic Income won't solve everything; mental illness is terrible and often untreatable, addiction is a tough problem, etc. But, of all the options, I'm reasonably confident it's the least damaging.