You could potentially shotcrete (spray it with concrete to reinforce) the wall after the robotic excavator is done if you’re concerned about stability. I can’t speak to whether you can highly automate this as well, but it seems possible with current state robotics with human operators.
https://en.wikipedia.org/wiki/Shotcrete
https://www.geostabilization.com/technology/shotcrete-robot/
https://dawinvehicles.en.made-in-china.com/product/jBMnaOKdL...
This seems like game changing technology. There are a heap of such walls around here, some built long ago by Dalmation immigrants (and some allegedly by German POWs). It's quite labour intensive and highly skilled to create them.
We have some on our property, used to retain the hillside after land slips. They were built with an excavator by a gnarly old guy who was unbelievably skilled.
One thing I wonder is whether these are safe. These things terrify the shit out of me, as one toppling rock of that size could instantly kill a child.
Walls built by human operators of sufficient skill are safe (I know, I went around and tried to wobble every single rock to make sure). But are these built to the same level?