There's no such thing as "just above" with UBI; the whole point is that you get to keep a non-negligible fraction of whatever you earn, no matter what. It only makes it easier for folks to join and stay in the workforce, even if all they can get is a marginal job.
> the whole point is that you get to keep a non-negligible fraction of whatever you earn
Australia already has this - you can earn up to (somewhere around) $18k per year and you won't get taxed. This applies to everyone. Is this what you're talking about? Because as far as I can see, there are still people under the poverty line here.
But if you're not talking about that, and you're saying that ALL should get $18k (for example) no questions asked, when someone earned $19k before UBI, do they now do the same hours for $1k, or do they keep their whole $19k? If the former, why bother working, but if the latter, you've now just given them $36k not $18k.