I see it a bit differently, instead of thinking of it as 'money representing value created' I think of it as 'money represents value received.' I realize the difference may seem like semantic hoops but to illustrate how I see it, consider this scenario.

A dozen people erect tents and lean-to shelters out of ad-hoc materials on a city street to stay out of the weather while they sleep. They use the gutter (or not) as an open air latrine. If a BI system is providing them with some money which they can apply toward a system of shelters or temporary living space, I "receive" an environment where I'm more productive because I'm not worrying about the people living on my doorstep. That is worth a lot to me, and I can unilaterally start giving money to anyone sleeps in front of my house so that they can get a room at a hotel or shelter bed but it doesn't change the systemic reasons that person is sleeping on the street. Now if I give them a BI stipend and combined with wages they get from working they can find a shelter, then not only are they better off but I am better off as well and the economy as a whole is more productive.

That is achieved by capturing some of the excess wealth being generated by the economy and directing it toward the quality of life improvement for everyone (the homeless are housed and I don't have to dodge their encampments on the street and city services are more able to cope with people living in expected places and provide garbage and sewage services.