It depends in part on how the services of the social support network are delivered. We already give everyone in this country a basic income, except it is disguised because it is provided in the form of Medicaid, SNAP, Section 8, etc.
I am totally fine with helping people in need be fed, clothed and housed.
I do think it would work better if we just added up the cost of all that assistance, and gave people that amount in cash instead, and then let them pay directly for those services that they really want. At first it would look like the same outlay, but over time it would reduce administrative state overhead and also empower people.
I know there are concerns that some people who receive the cash would not spend it the way we'd like them to spend it, and that can be a problem with neglectful parents and needy children. At the same time, we could shift government employment from monitoring a number of different programs separately into monitoring the universe of all programs holistically. I think we'd all be better off, and it also would be a great unifying gesture: the left wants to help people but doesn't trust people to act on their own, while the right likes to harness market forces to improve outcomes in ways that no one can foresee ahead of time. It seems to me that we'd get the best of both while avoiding the worst of both by just giving everyone their basic income 100% in cash and then let them buy whatever benefits they choose with it (housing, food, access to healthcare, education and job training).