I'm very skeptical of this too. I don't see a mechanism where moving transistors could break the machine. Although I wonder if you could blow up the die testing machine by making a chip that was one big charge pump :-)
As an aside, few analog layouts will use the "line of diffusion" style that's common in the standard cells. And in analog one can find more exotic transistor patterns, like waffle [1], that aren't used in digital. Many things are possible, but it has to pass DRC.
[1] https://www.radioeng.cz/fulltexts/2019/19_03_0598_0609.pdf
What I can imagine, is that the foundry only tests their magic OPC algorithm with DRC clean inputs. If your mask isn't DRC clean, who knows what's coming out the other side.