a) they deserve it, all of them
b) it's sad, but it's not our problem
c) this is not acceptable and something should be done about it by the state
People who believe (a) and (b) are not going to support UBI. Once people accept (c), only then can we start talking about how to deal with it, and the disadvantages and distortions of the current means-tested system. Liberating the system from means-testing means completely giving up on (a) and accepting that trying to sort the poor into deserving and undeserving is both intractable and hostile to human dignity. But it's a very long way to get there.