It's so hard to predict, I can't tell. The reason I think it will be smoother than many people think, is how quickly the world reacted to Covid in March 2020.
I also suspect the first crisis that will force action won't directly be unemployment itself, but some financial crisis stemming from it. If entire categories of jobs become permanently unemployable such as TV or movie production with Sora, or driving jobs with self-driving cars, then all of a sudden all the unpayable mortgages these people have are a crisis for the banks holding them. This was what precipitated the 2008 financial crisis
NVIDIA, along with many other big tech companies are investors in Figure AI's humanoid robot, which seems to have taken the lead from Boston Dynamics in having the world's most advanced humanoid robot.
What the development of AI is showing us is that no one has "the lead" for very long. Free open-source AI is only months behind the leaders, who acknowledge they have no moat. There's every reason to think robotics will be the same. Especially as there are so many people around the world working on the tech (see list below).
I think a more interesting question for the near future is who will get to manufacture and sell the first humanoid robots to sell in their millions? I suspect the answer to that question will be a Chinese company.
Humanoid Robots in development
LimX Dynamics
1X's NEO
Boston Dynamics ATLAS
Tesla's Optimus
Agility Robotics
Xiaomi's CyberOne
Apptronik Apollo
Ubtech's Walker S
Figure's Figure 1
Fourier Intelligence's GR-1
Sanctuary's Phoenix
Unitree Robotics' H1
XPENG's PX5