Example: say we're a group of musicians, starting a MusicianCoin group. I happen to be a fairly shameless participant, so I enjoy the basic income while I'm still bootstrapping my career, but one day I hit it big, and now my concerts are all sold out for the next year (and of course, tickets are sold in exchange for MusicianCoins).
Do I give back to the group? If I want to do that, that's easy: I just sit on my newly earned pile of MusicianCoins, and wait for the steady rate of minting to dissipate the value away to other members of the group. But what if I just exit my position immediately? By trading my MusicianCoins for dollars (thereby putting downward pressure on the value of MusicianCoin), I'm avoiding giving back any of the value I created, I think?
I think this is what makes it fundamentally different than a tax-based basic income: you can't (legally) opt out of taxes.