The important gain would be to give people breathingroom to actually find a job most relevant to their education and skills instead of just jumping on the first available opening to be able to pay the rent. Or even spending some time improving your skills.
In the US I think just introducing universal healthcare would accomplish part of the same thing.
The entire point of UBI is to secure everyones basic human needs, not get them a job (unlike unemployment benefits).
If we were to test UBI also on employed people, and observed their behavior, we might avtually gain useful insight into mechanica with UBI. Perhaps we will see more 6-hour workdays with more people employed?
Given that it significantly improved mental health, it seems reasonable to expect that this UBI model would lead to some savings in public health expenditure. Arguably there should also be some savings compared to the administration of the current unemployment benefits that require the person to provide evidence of activity and other such things.
How well it compares in practice to the cash cost nobody knows as the experiments are all too short to really tell.