Like bankruptcy, automation will happen gradually and then suddenly. This time last year LLMs hadn't solved a single open mathematics conjecture of note. Within months they solved a millennium prize problem.
Robotics is likely to follow a similar trajectory. You can say that robotics is not clinical like mathematics is, yet it kind of is, you can create simulated training environments of any complexity.
It's a bad analogy. Math proofs lend themselves to just throwing more compute at the problem both in training and at inference, you can verify when you are done. Most tasks don't lend themselves well to training or inference.
Robotics isn't really a coherent grouping. Some things that would be termed "robotics" are already "solved", other things aren't even close and need actuating and sensing capabilities that are miles off or so cost prohibitive that it doesn't make any sense.