If there really is post-scarcity though, that means there is an unlimited amount to go around. I severely doubt an economic collapse like the Great Depression could occur. Production will be sky-high because the labor previously done by humans that work slowly, require breaks, have to be paid, etc, will be done by AI that can work nonstop and improve at unfathomable rates without all that much cost.

Edit: To be clear, I don't disagree that this could absolutely widen wealth disparity, at the very least for some short time before that reverses, but I think that effect would mostly hinge on land ownership (the real economic creator of inequality that no one seems to discuss -- those who "own" land (literally nature, part of the Earth) profit from those who don't without doing anything, widening inequality in a way that AI can do little to fix.