Useful to do "what" would be my question...
I truly can't come up with even one creative use case for a "lamp-like robot with lifelike movements"
I can think of one. This robot is attached to a conference table. It's a telepresence robot, operated by a remote user wearing an Apple Vision headset. Around the table are people attending the meeting in person, and possibly other telepresence robots.
The robot can turn to face whoever is speaking, if the Vision wearer chooses, or it can look around at the other participants.
People at the meeting will see the Vision wearer's persona (face and hands) on the screen of the robot. The Vision wearer will of course see the conference room as if they are in the room. If they turn their head the telepresence robot turns with them, but they can look around with their eyes.
If there are multiple telepresence robots being used, the Vision wearers won't see the robots in the conference room. The robots will be digitally erased, and replaced with the personas of the other remote attendees.
It's said that Apple is also working on a robot that can move around from place to place. This would give another degree of freedom to a telepresence user. A supervisor could "walk around" a factory floor and interact with workers. Then the same supervisor could connect to a different telepresence robot in a different location. When the supervisor disconnects from a telepresence robot, it autonomously returns to a docking station, or it keeps "supervising", alerting the human supervisor if something needs their attention.
These are just my ideas. I don't know if Apple is working on or towards this.