The difficulty with human abilities in vision, locomotion and particularly coordination and manipulation is due to their arithmetic complexity being high. Modern deep learning solves that, LLMs provide the "interface" for planned action.
From the outside, this process of "solving" perhaps looks like "robots stumble around haplessly". But it's just the same as with mathematicians in the intellectual realm: when the level of ability surpasses that of humans, it appears as a "sudden event" to outsiders, having occurred far faster than anticipated.
There are no "safe havens".
Where robots ‘win’ is following orders with no regard to self preservation or long term survival.
Ponder that for a bit, and it’s consequences get a bit scary.
The safety brief is supposed to motivate you to work safely so maybe they need to work on how they present it. I saw a couple of colleagues injured in my old job (EMS) but only seen a member of the public decapitated.