This is similar to placing a set of lenses in front of a laser beam and quickly changing the focus - the focal point can move towards you at arbirtrary speed ye

This is similar to placing a set of lenses in front of a laser beam and quickly changing the focus - the focal point can move towards you at arbirtrary speed yet you can't pass information because focal point is an imaginary object. Similarly, you can spin the laser in front of a wall and then the spot on the wall can move at arbitrary speed (provided the wall is far enough).