By some estimates, today's global supply is like 2% (or was it 0.2%?) of the total amount required to enable such widespread deployment of robots. Until we can scale that up (or figure out how to bypass that dependency) there is a very hard constraint on how fast they can be deployed.
I think the company that cracks the mass market robotics puzzle will be the next trillion (quadrillion?) dollar company. I suspect that would require bypassing the dependency on rare earths, but there seem to be no serious contenders out there? All the big shots are focusing on using current technologies because they basically “solve” motors. Maybe the company that does crack this puzzle will come out of left field with an unconventional technology that scales with whatever raw material is abundant, like OpenAI did with ChatGPT and compute.