I agree with you...you obviously have done some research on the results of what people do when they get a basic income. Most do not sit home and do nothing. It is amazing that when a rich person does nothing, it is leisure, but a poor person is lazy.
Anyway, the ability to say no to a crap job is the most beneficial aspect to the basic income concept. You are correct people choose to go back to school, study something different or enhance their skills other ways.
The challenge, is what many people are going to school for will be automated out too. I see so many entering college only to think, that career wont be around in a decade...at least not in its present form.