Actually the basic income creates new business models. If you can't take care of yourself you can sign up with a company that takes your basic income and provides 3 hots, a cot and an allowance. Can't image it will be the nicest accomidations but it will be there if you need it...
This might not work out the way you think. With more money in everyone's pocket, for example, people in subsistence circumstances working minimum-wage second jobs while their children sit alone at home would no longer be compelled as strongly to take or keep such jobs. Some would stick with them, but surely there would be a cohort for whom it's no longer necessary, or who could now afford to be pickier about the nature of that second job. And the movement of this margin, however slightly, in favor of the employee, would place upward pressure on the wages at those types of jobs.
There are businesses whose profitability and business model assume a steady supply of takers of these sorts of jobs at the lowest possible wage. How would basic income affect that supply?
We would then have come full circle. Robots/AI remove jobs, which causes basic income legislation to take root, which cause people to stop working the jobs the Robots/AI took away in the first place!