"If basic income were to be established, what would you think people do ?"
As owenmarshall said, you can perfectly have both -- establish basic income for "survival" needs, and let people have work if they really want to. Basic income doesn't mean abolishing all kinds of work, it just means making sure humans don't have to work to live.
I think most people would continue to work and the people who are currently unemployed would largely remain unemployed.
I don't think the unemployment we have is economically efficient, though. Our neo-command economy run by wall street selfishly demanded high unemployment despite the need for currently unemployed people to work and desire for those same people to work.
"the people who are currently unemployed would largely remain unemployed."
Why do you believe that? Some small portion of those working, with better things to do, will probably work less or stop working. This will represent a larger portion of the unemployed, because of the size of the two sets.
Meanwhile, demand will rise as the people at the bottom end of the income spectrum are more able to meet their needs.
With increased demand for labor and decreased supply, it should become quite a bit easier to find a job.
On top of that, looking for a job is quite a bit easier when you know you have some resources to fall back on, and a basic income can help provide the bandwidth to pursue whatever training, &c, they find appropriate rather than having to jump through bureaucratic hoops or focusing on scrounging together enough to get to tomorrow.
I expect quite a few of the unemployed would stop being unemployed with a modest basic income.
"If basic income were to be established, what would you think people do ?"
As owenmarshall said, you can perfectly have both -- establish basic income for "survival" needs, and let people have work if they really want to. Basic income doesn't mean abolishing all kinds of work, it just means making sure humans don't have to work to live.