This is a great point but it's not orthogonal to mine. Basic income doesn't provide a framework for self worth; it simply replaces a need to toil for money with a state-provided guarantee of a reasonable standard of living. If you have some side project or external, monetarily low-valued way of spending your time (full-time parenthood, art, a cottage business) then you've solved the worth problem on your own. If you're a displaced factory worker, you now have a new (admittedly nicer) problem.

To your coda, I think a lot of contemporary angst comes from precisely that - a sense that jobs really are basically worthless. Most of us behind a desk have felt that at some point. Even my frontline public servant friends in the military, healthcare, and police report similar feelings from time to time.