I have a schizoid brother. He never worked for a living his whole life (he's 46). He lives off my mum's income, and spends his day in front of the computer screen. He has no friends and no relationships.
Horrible, right? But he has a chemical engineering degree, and in his late 30s started to learn to cook. And, he (to the extent he's not addicted to the screen) helps my mum with chores.
So even he found a way to motivate himself to do something useful. And look, most people are not schizoid.
Under UBI, if you have some skill, you can get paid by people (possibly from their UBI) to do stuff they don't want to deal with. Many people will take that offer (to work more), just like many people pick more work, higher wage job over less work, lower wage.