Very interseting experiment Tim.

I was always under the impression that it is ok to move the egg for the first few days, its when the embryo is more developed that moving could be an issue.

After watching how my beardies are reall rough with the eggs as they bury them, I am not as worried about eggs when I handle or move them.

They are obviously tougher than we think.

In many reptiles(turtle, lizards) eggs are buried so moving is not an issue.
With ball pythons they often stick together which would also stop them from rolling around.

In poultry its a little different.